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	26640cd	Isogeny class
Conductor	26640	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	103680	Modular degree for the optimal curve
Δ	-797602399200000 = -1 · 28 · 39 · 55 · 373	Discriminant
Eigenvalues	2- 3- 5- -2  0 -1 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-16752,1594604]	[a1,a2,a3,a4,a6]
Generators	[238:3330:1]	Generators of the group modulo torsion
j	-2785840267264/4273846875	j-invariant
L	5.2055759210136	L(r)(E,1)/r!
Ω	0.45186873877392	Real period
R	0.1920017722823	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	6660f1 106560ej1 8880p1	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 26640cd1

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	0	-1	-6	-2	6	9	10	-	-12	-5	-3	-9	9	2	4	12	2	-8	-9	-9	14

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Quadratic twists for elliptic curve 26640cd1

-4	8	-3
6660f1	106560ej1	8880p1

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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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