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	4	Product of Tamagawa factors cp
deg	368	Modular degree for the optimal curve
Δ	20240 = 24 · 5 · 11 · 23	Discriminant
Eigenvalues	2-  0 5+ -4 11-  6 -6  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-28,-49]	[a1,a2,a3,a4,a6]
j	2347334289/20240	j-invariant
L	2.0823538910759	L(r)(E,1)/r!
Ω	2.0823538910759	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	20240h1 80960x1 22770s1 12650i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530j1

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 2530j1

-4	8	-3	5	-7	-11	-23
20240h1	80960x1	22770s1	12650i1	123970cb1	27830f1	58190y1

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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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