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	58800iz	Isogeny class
Conductor	58800	Conductor
∏ cp	256	Product of Tamagawa factors cp
Δ	7.471182096E+19	Discriminant
Eigenvalues	2- 3- 5+ 7- -4 -2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-20580408,-35940400812]	[a1,a2,a3,a4,a6]
j	128031684631201/9922500	j-invariant
L	1.1341175196941	L(r)(E,1)/r!
Ω	0.070882345090537	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	7350g4 11760br3 8400bp4	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800iz4

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	-2	2	-4	-8	6	-8	2	-2	-12	8	-6	4	2	12	-8	-14	0	-12	-2	10

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Quadratic twists for elliptic curve 58800iz4

-4	5	-7
7350g4	11760br3	8400bp4

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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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