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	58800fr	Isogeny class
Conductor	58800	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	1548288	Modular degree for the optimal curve
Δ	1.0640111220703E+20	Discriminant
Eigenvalues	2- 3+ 5+ 7- -2  4 -2  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1863633,-843541488]	[a1,a2,a3,a4,a6]
Generators	[-3569297590388:-24632780246950:3659383421]	Generators of the group modulo torsion
j	70954958848/10546875	j-invariant
L	5.239906404556	L(r)(E,1)/r!
Ω	0.13049964016737	Real period
R	20.076325106495	Regulator
r	1	Rank of the group of rational points
S	0.99999999999899	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	14700bf1 11760cr1 58800ip1	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800fr1

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

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Quadratic twists for elliptic curve 58800fr1

-4	5	-7
14700bf1	11760cr1	58800ip1

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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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