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	58800fe	Isogeny class
Conductor	58800	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	-2.7013427493017E+27	Discriminant
Eigenvalues	2- 3+ 5+ 7-  0  2 -6  8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-398909408,-3956791058688]	[a1,a2,a3,a4,a6]
Generators	[347443499914613444699911918:90723641701165786261622483550:4678007445656551890359]	Generators of the group modulo torsion
j	-932348627918877961/358766164249920	j-invariant
L	5.466941529656	L(r)(E,1)/r!
Ω	0.016574363398605	Real period
R	41.230403532554	Regulator
r	1	Rank of the group of rational points
S	0.99999999998145	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	7350ck8 11760cd8 8400cf8	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800fe7

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	-6	8	0	6	-4	10	6	-4	0	6	-12	10	-4	-12	-10	-8	-12	6	-10

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Quadratic twists for elliptic curve 58800fe7

-4	5	-7
7350ck8	11760cd8	8400cf8

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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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