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	2530f	Isogeny class
Conductor	2530	Conductor
∏ cp	27	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-342622720 = -1 · 29 · 5 · 11 · 233	Discriminant
Eigenvalues	2- -2 5+ -1 11+  2  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-176,-1280]	[a1,a2,a3,a4,a6]
Generators	[16:0:1]	Generators of the group modulo torsion
j	-603136942849/342622720	j-invariant
L	3.1683194098955	L(r)(E,1)/r!
Ω	0.63858175311738	Real period
R	1.6538312671941	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	20240p1 80960be1 22770w1 12650c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530f1

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
-	-2	+	-1	+	2	0	5	-	-3	-4	2	-6	-4	-9	-6	3	-10	-1	0	5	2	0	-18	-1

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Quadratic twists for elliptic curve 2530f1

-4	8	-3	5	-7	-11	-23
20240p1	80960be1	22770w1	12650c1	123970bs1	27830h1	58190bi1

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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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