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	2530b	Isogeny class
Conductor	2530	Conductor
∏ cp	9	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	-3953125000 = -1 · 23 · 59 · 11 · 23	Discriminant
Eigenvalues	2+  0 5-  3 11+ -4 -4  7	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-539,-5555]	[a1,a2,a3,a4,a6]
Generators	[51:287:1]	Generators of the group modulo torsion
j	-17335770872841/3953125000	j-invariant
L	2.6084516759435	L(r)(E,1)/r!
Ω	0.48944246965732	Real period
R	0.59215940986209	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	20240w1 80960k1 22770bp1 12650q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2530b1

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

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Quadratic twists for elliptic curve 2530b1

-4	8	-3	5	-7	-11	-23
20240w1	80960k1	22770bp1	12650q1	123970b1	27830x1	58190c1

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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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