Cremona's table of elliptic curves

2664 = 2³ · 3² · 37

Field	Data	Notes
Atkin-Lehner	2- 3- 37-	Signs for the Atkin-Lehner involutions
Class	2664h	Isogeny class
Conductor	2664	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	3200	Modular degree for the optimal curve
Δ	-13423491072 = -1 · 211 · 311 · 37	Discriminant
Eigenvalues	2- 3-  4 -1  3 -5 -7  5	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1803,29990]	[a1,a2,a3,a4,a6]
j	-434163602/8991	j-invariant
L	2.5156388033144	L(r)(E,1)/r!
Ω	1.2578194016572	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5328g1 21312p1 888a1 66600m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2664h1

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
-	-	4	-1	3	-5	-7	5	-1	8	6	-	2	12	2	1	4	14	14	-4	-11	10	-5	9	-10

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Quadratic twists for elliptic curve 2664h1

-4	8	-3	5	37
5328g1	21312p1	888a1	66600m1	98568k1

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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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