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	2530h	Isogeny class
Conductor	2530	Conductor
∏ cp	90	Product of Tamagawa factors cp
deg	2160	Modular degree for the optimal curve
Δ	-115359580160 = -1 · 215 · 5 · 113 · 232	Discriminant
Eigenvalues	2-  1 5+ -1 11- -4 -3 -1	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,629,-15119]	[a1,a2,a3,a4,a6]
Generators	[18:37:1]	Generators of the group modulo torsion
j	27518990257871/115359580160	j-invariant
L	4.8170525368554	L(r)(E,1)/r!
Ω	0.53203778365091	Real period
R	0.90539670017423	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	20240l1 80960s1 22770v1 12650l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530h1

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	+	-1	-	-4	-3	-1	+	-3	-7	-1	6	-10	12	3	0	-7	8	-9	2	-10	-6	-9	2

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Quadratic twists for elliptic curve 2530h1

-4	8	-3	5	-7	-11	-23
20240l1	80960s1	22770v1	12650l1	123970bx1	27830b1	58190z1

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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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