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	3	Product of Tamagawa factors cp
Δ	-30613000 = -1 · 23 · 53 · 113 · 23	Discriminant
Eigenvalues	2- -2 5+ -1 11+  2  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-15816,-766904]	[a1,a2,a3,a4,a6]
Generators	[154:598:1]	Generators of the group modulo torsion
j	-437537617105223809/30613000	j-invariant
L	3.1683194098955	L(r)(E,1)/r!
Ω	0.21286058437246	Real period
R	4.9614938015824	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	20240p2 80960be2 22770w2 12650c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530f2

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 2530f2

-4	8	-3	5	-7	-11	-23
20240p2	80960be2	22770w2	12650c2	123970bs2	27830h2	58190bi2

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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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