Cremona's table of elliptic curves

5060 = 2² · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 5- 11- 23-	Signs for the Atkin-Lehner involutions
Class	5060f	Isogeny class
Conductor	5060	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	12960	Modular degree for the optimal curve
Δ	-230032343750000 = -1 · 24 · 510 · 112 · 233	Discriminant
Eigenvalues	2- -1 5-  0 11-  3 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-31690,-2280163]	[a1,a2,a3,a4,a6]
Generators	[379:6325:1]	Generators of the group modulo torsion
j	-219980483082985216/14377021484375	j-invariant
L	3.3661786374646	L(r)(E,1)/r!
Ω	0.17823837212918	Real period
R	0.31476374374883	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	20240s1 80960g1 45540g1 25300f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5060f1

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
-	-1	-	0	-	3	-4	-4	-	-1	9	-6	5	-8	-5	8	-4	-2	2	-11	5	-2	6	-12	0

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Quadratic twists for elliptic curve 5060f1

-4	8	-3	5	-11	-23
20240s1	80960g1	45540g1	25300f1	55660z1	116380a1

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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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