Cremona's table of elliptic curves

1260 = 2² · 3² · 5 · 7

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 7-	Signs for the Atkin-Lehner involutions
Class	1260j	Isogeny class
Conductor	1260	Conductor
∏ cp	216	Product of Tamagawa factors cp
Δ	-24700642848000 = -1 · 28 · 38 · 53 · 76	Discriminant
Eigenvalues	2- 3- 5- 7- -6 -4 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,2913,231334]	[a1,a2,a3,a4,a6]
Generators	[-37:270:1]	Generators of the group modulo torsion
j	14647977776/132355125	j-invariant
L	2.7116677759753	L(r)(E,1)/r!
Ω	0.49256340129294	Real period
R	0.9175359520072	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	5040bl4 20160bv4 420c4 6300k4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1260j4

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
-	-	-	-	-6	-4	-6	2	0	-6	-10	2	6	-4	0	12	0	14	-4	-6	-4	-16	12	-6	-16

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Quadratic twists for elliptic curve 1260j4

-4	8	-3	5	-7
5040bl4	20160bv4	420c4	6300k4	8820s4

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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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