Cremona's table of elliptic curves

26010 = 2 · 3² · 5 · 17²

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 17+	Signs for the Atkin-Lehner involutions
Class	26010bi	Isogeny class
Conductor	26010	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	208896	Modular degree for the optimal curve
Δ	8645056196631300 = 22 · 36 · 52 · 179	Discriminant
Eigenvalues	2- 3- 5+ -2 -4 -2 17+  8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-52508,1211131]	[a1,a2,a3,a4,a6]
Generators	[-175:2327:1]	Generators of the group modulo torsion
j	185193/100	j-invariant
L	6.6473374566853	L(r)(E,1)/r!
Ω	0.36021383856688	Real period
R	4.6134661865934	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2890g1 26010bv1	Quadratic twists by: -3 17

Hecke Eigenvalues for elliptic curve 26010bi1

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
-	-	+	-2	-4	-2	+	8	6	-6	-10	2	-4	8	0	10	4	10	-4	-10	12	6	0	-2	16

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Quadratic twists for elliptic curve 26010bi1

-3	17
2890g1	26010bv1

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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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