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	58800hs	Isogeny class
Conductor	58800	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1.1606077388882E+25	Discriminant
Eigenvalues	2- 3- 5+ 7+  0 -5  6  7	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,33799792,-145403186412]	[a1,a2,a3,a4,a6]
Generators	[2774837450094:1084502244163584:18191447]	Generators of the group modulo torsion
j	18519167975/50331648	j-invariant
L	7.7572460925817	L(r)(E,1)/r!
Ω	0.036822554589855	Real period
R	17.555467880545	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	7350bo2 58800gn2 58800fi2	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800hs2

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	-5	6	7	-6	0	-8	1	0	8	6	6	6	-1	-13	-12	-5	7	-18	-6	7

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Quadratic twists for elliptic curve 58800hs2

-4	5	-7
7350bo2	58800gn2	58800fi2

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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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