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	5060c	Isogeny class
Conductor	5060	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2880	Modular degree for the optimal curve
Δ	-84185750000 = -1 · 24 · 56 · 114 · 23	Discriminant
Eigenvalues	2- -1 5+  2 11- -3  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-626,-14999]	[a1,a2,a3,a4,a6]
Generators	[126:1375:1]	Generators of the group modulo torsion
j	-1698323056384/5261609375	j-invariant
L	3.0776101857451	L(r)(E,1)/r!
Ω	0.44046244405995	Real period
R	0.29113437358561	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	20240k1 80960r1 45540s1 25300j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5060c1

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	+	2	-	-3	4	0	+	-3	-7	8	7	-2	3	-10	-8	8	4	5	-1	-4	-12	2	-14

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Quadratic twists for elliptic curve 5060c1

-4	8	-3	5	-11	-23
20240k1	80960r1	45540s1	25300j1	55660c1	116380f1

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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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