Cremona's table of elliptic curves

2530 = 2 · 5 · 11 · 23

Field	Data	Notes
Atkin-Lehner	2- 5+ 11- 23+	Signs for the Atkin-Lehner involutions
Class	2530g	Isogeny class
Conductor	2530	Conductor
∏ cp	15	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-4898080 = -1 · 25 · 5 · 113 · 23	Discriminant
Eigenvalues	2-  0 5+ -1 11-  0  4 -7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-28,127]	[a1,a2,a3,a4,a6]
Generators	[-5:13:1]	Generators of the group modulo torsion
j	-2347334289/4898080	j-invariant
L	4.2307661227543	L(r)(E,1)/r!
Ω	2.1632572866329	Real period
R	0.13038258398256	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	20240j1 80960q1 22770t1 12650k1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530g1

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	+	-1	-	0	4	-7	+	-5	10	-2	-4	-10	-13	-12	-5	-8	-3	10	7	12	-8	12	-7

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Quadratic twists for elliptic curve 2530g1

-4	8	-3	5	-7	-11	-23
20240j1	80960q1	22770t1	12650k1	123970bv1	27830a1	58190x1

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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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