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	58800a	Isogeny class
Conductor	58800	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1419264	Modular degree for the optimal curve
Δ	-1.021217202747E+20	Discriminant
Eigenvalues	2+ 3+ 5+ 7+  0  1 -2 -3	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,880367,367548637]	[a1,a2,a3,a4,a6]
Generators	[-251450083332:1792481599775:702595369]	Generators of the group modulo torsion
j	3272428544/4428675	j-invariant
L	4.8413521631942	L(r)(E,1)/r!
Ω	0.12739619866561	Real period
R	19.001164139527	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	29400dq1 11760ba1 58800cp1	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800a1

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	1	-2	-3	6	-6	-7	-1	4	-11	6	4	14	-6	3	0	-7	-9	16	-2	2

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Quadratic twists for elliptic curve 58800a1

-4	5	-7
29400dq1	11760ba1	58800cp1

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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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