Cremona's table of elliptic curves

58800 = 2⁴ · 3 · 5² · 7²

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	58800ji	Isogeny class
Conductor	58800	Conductor
∏ cp	224	Product of Tamagawa factors cp
Δ	4.19982941952E+20	Discriminant
Eigenvalues	2- 3- 5- 7-  0  2  2  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3027208,1770329588]	[a1,a2,a3,a4,a6]
Generators	[-418:54432:1]	Generators of the group modulo torsion
j	1118063669939/153055008	j-invariant
L	7.8372609394244	L(r)(E,1)/r!
Ω	0.16146778586981	Real period
R	0.86674309336429	Regulator
r	1	Rank of the group of rational points
S	1.0000000000038	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7350m2 58800gs2 58800gt2	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800ji2

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	2	2	2	-8	-8	4	-6	-10	-2	-6	6	12	-2	14	-6	10	-4	12	14	-14

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Quadratic twists for elliptic curve 58800ji2

-4	5	-7
7350m2	58800gs2	58800gt2

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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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