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	5060d	Isogeny class
Conductor	5060	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	1440	Modular degree for the optimal curve
Δ	-1113200 = -1 · 24 · 52 · 112 · 23	Discriminant
Eigenvalues	2- -1 5+ -4 11- -1 -8 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-286,1961]	[a1,a2,a3,a4,a6]
Generators	[218:-935:8] [-4:55:1]	Generators of the group modulo torsion
j	-162262983424/69575	j-invariant
L	3.7619894376901	L(r)(E,1)/r!
Ω	2.708337520714	Real period
R	0.11575334219231	Regulator
r	2	Rank of the group of rational points
S	1.0000000000001	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	20240i1 80960y1 45540p1 25300i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5060d1

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	+	-4	-	-1	-8	-8	-	-5	-7	-2	-7	0	3	-4	-12	6	6	5	1	-10	-18	-12	12

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Quadratic twists for elliptic curve 5060d1

-4	8	-3	5	-11	-23
20240i1	80960y1	45540p1	25300i1	55660l1	116380g1

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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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