Cremona's table of elliptic curves

26640 = 2⁴ · 3² · 5 · 37

Field	Data	Notes
Atkin-Lehner	2+ 3- 5+ 37-	Signs for the Atkin-Lehner involutions
Class	26640g	Isogeny class
Conductor	26640	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	186437376000 = 211 · 39 · 53 · 37	Discriminant
Eigenvalues	2+ 3- 5+  0  0  6 -2  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-47952003,127808060002]	[a1,a2,a3,a4,a6]
Generators	[8223:538070:1]	Generators of the group modulo torsion
j	8167450100737631904002/124875	j-invariant
L	5.5353873838543	L(r)(E,1)/r!
Ω	0.35354633430482	Real period
R	7.8283761515143	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	13320d3 106560fn4 8880i3	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26640g4

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
+	-	+	0	0	6	-2	8	0	2	-8	-	-10	-4	4	-6	-4	2	12	-8	2	-8	-4	-10	-18

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Quadratic twists for elliptic curve 26640g4

-4	8	-3
13320d3	106560fn4	8880i3

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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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