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	58800dt	Isogeny class
Conductor	58800	Conductor
∏ cp	64	Product of Tamagawa factors cp
Δ	-1543500000000000 = -1 · 211 · 32 · 512 · 73	Discriminant
Eigenvalues	2+ 3- 5+ 7-  6  2 -4 -8	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-14408,-2008812]	[a1,a2,a3,a4,a6]
Generators	[298:4500:1]	Generators of the group modulo torsion
j	-30138446/140625	j-invariant
L	8.1865096194396	L(r)(E,1)/r!
Ω	0.19736644771466	Real period
R	2.5924206324561	Regulator
r	1	Rank of the group of rational points
S	1.0000000000096	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	29400u2 11760i2 58800bk2	Quadratic twists by: -4 5 -7

Hecke Eigenvalues for elliptic curve 58800dt2

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
+	-	+	-	6	2	-4	-8	-8	8	-2	0	-6	-2	-2	-6	12	10	2	-12	10	-8	-16	10	-10

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Quadratic twists for elliptic curve 58800dt2

-4	5	-7
29400u2	11760i2	58800bk2

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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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