Cremona's table of elliptic curves

2628 = 2² · 3² · 73

Field	Data	Notes
Atkin-Lehner	2- 3- 73-	Signs for the Atkin-Lehner involutions
Class	2628b	Isogeny class
Conductor	2628	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	14784	Modular degree for the optimal curve
Δ	-2413371366144 = -1 · 28 · 317 · 73	Discriminant
Eigenvalues	2- 3- -1 -4  0  4 -3 -7	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-439968,-112325884]	[a1,a2,a3,a4,a6]
j	-50468394519494656/12931731	j-invariant
L	1.1122323580732	L(r)(E,1)/r!
Ω	0.09268602983943	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	10512u1 42048w1 876a1 65700f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2628b1

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
-	-	-1	-4	0	4	-3	-7	6	6	2	-3	8	-2	-7	11	-1	-5	5	4	-	1	15	18	13

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Quadratic twists for elliptic curve 2628b1

-4	8	-3	5	-7
10512u1	42048w1	876a1	65700f1	128772f1

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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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