Cremona's table of elliptic curves

26508 = 2² · 3 · 47²

Field	Data	Notes
Atkin-Lehner	2- 3+ 47-	Signs for the Atkin-Lehner involutions
Class	26508b	Isogeny class
Conductor	26508	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	6443136	Modular degree for the optimal curve
Δ	3.6998321078978E+25	Discriminant
Eigenvalues	2- 3+  3  3 -1 -2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-114066869,-366336379263]	[a1,a2,a3,a4,a6]
Generators	[1221579134709992101798651953987795908509851182:-149840411084707734806206494647183980199175442249:57535172614416521817718656100237615669208]	Generators of the group modulo torsion
j	572903653376/129140163	j-invariant
L	6.2904061736533	L(r)(E,1)/r!
Ω	0.04694240711833	Real period
R	67.001316717705	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	106032bm1 79524k1 26508c1	Quadratic twists by: -4 -3 -47

Hecke Eigenvalues for elliptic curve 26508b1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	3	3	-1	-2	2	-2	-3	-1	-2	-3	10	-10	-	-6	2	-10	-8	-12	8	-5	14	-4	1

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Quadratic twists for elliptic curve 26508b1

-4	-3	-47
106032bm1	79524k1	26508c1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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