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	2530j	Isogeny class
Conductor	2530	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-420928750 = -1 · 2 · 54 · 114 · 23	Discriminant
Eigenvalues	2-  0 5+ -4 11-  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,182,231]	[a1,a2,a3,a4,a6]
j	670151588751/420928750	j-invariant
L	2.0823538910759	L(r)(E,1)/r!
Ω	1.041176945538	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	20240h4 80960x3 22770s3 12650i4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530j4

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	+	-4	-	6	-6	4	-	10	8	-6	2	-4	0	10	4	2	-4	16	10	-8	4	-14	6

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Quadratic twists for elliptic curve 2530j4

-4	8	-3	5	-7	-11	-23
20240h4	80960x3	22770s3	12650i4	123970cb3	27830f3	58190y3

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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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