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	2530a	Isogeny class
Conductor	2530	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	129536000 = 212 · 53 · 11 · 23	Discriminant
Eigenvalues	2+  0 5+  0 11+  2  2  4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-680,6976]	[a1,a2,a3,a4,a6]
j	34802436655449/129536000	j-invariant
L	0.93000731996392	L(r)(E,1)/r!
Ω	1.8600146399278	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	20240n1 80960bb1 22770bu1 12650p1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530a1

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	+	0	+	2	2	4	-	-6	-8	-6	10	-8	8	10	12	6	-12	8	-2	16	8	2	-2

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Quadratic twists for elliptic curve 2530a1

-4	8	-3	5	-7	-11	-23
20240n1	80960bb1	22770bu1	12650p1	123970l1	27830q1	58190o1

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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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