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	2530k	Isogeny class
Conductor	2530	Conductor
∏ cp	154	Product of Tamagawa factors cp
deg	3696	Modular degree for the optimal curve
Δ	-931040000000 = -1 · 211 · 57 · 11 · 232	Discriminant
Eigenvalues	2- -1 5- -1 11+ -4  5  1	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-6375,198685]	[a1,a2,a3,a4,a6]
Generators	[283:-4742:1]	Generators of the group modulo torsion
j	-28652896908918001/931040000000	j-invariant
L	3.9776310080546	L(r)(E,1)/r!
Ω	0.87912735434013	Real period
R	0.029380012636465	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	20240z1 80960h1 22770p1 12650f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530k1

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	5	1	+	-1	-7	-11	-2	-6	0	1	0	-9	0	7	-14	2	-6	3	-6

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Quadratic twists for elliptic curve 2530k1

-4	8	-3	5	-7	-11	-23
20240z1	80960h1	22770p1	12650f1	123970w1	27830l1	58190q1

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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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