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	2530c	Isogeny class
Conductor	2530	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	272	Modular degree for the optimal curve
Δ	-58190 = -1 · 2 · 5 · 11 · 232	Discriminant
Eigenvalues	2+ -1 5- -3 11- -4  3  7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-7,11]	[a1,a2,a3,a4,a6]
Generators	[5:9:1]	Generators of the group modulo torsion
j	-47045881/58190	j-invariant
L	1.9159238756972	L(r)(E,1)/r!
Ω	3.182697630097	Real period
R	0.30099055869766	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	20240t1 80960c1 22770bm1 12650u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530c1

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
+	-1	-	-3	-	-4	3	7	+	9	5	-3	-6	-6	-4	9	-8	-11	-8	-5	6	-6	-6	-1	-14

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Quadratic twists for elliptic curve 2530c1

-4	8	-3	5	-7	-11	-23
20240t1	80960c1	22770bm1	12650u1	123970h1	27830v1	58190a1

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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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