Cremona's table of elliptic curves

1320 = 2³ · 3 · 5 · 11

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 11-	Signs for the Atkin-Lehner involutions
Class	1320n	Isogeny class
Conductor	1320	Conductor
∏ cp	96	Product of Tamagawa factors cp
deg	1536	Modular degree for the optimal curve
Δ	2371842000 = 24 · 34 · 53 · 114	Discriminant
Eigenvalues	2- 3- 5- -4 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-3415,75650]	[a1,a2,a3,a4,a6]
Generators	[-10:330:1]	Generators of the group modulo torsion
j	275361373935616/148240125	j-invariant
L	2.9676960704447	L(r)(E,1)/r!
Ω	1.4347393222001	Real period
R	0.34474277249355	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2640e1 10560d1 3960c1 6600g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320n1

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
-	-	-	-4	-	-6	-2	-4	-8	6	0	-2	2	-8	0	-2	4	-10	12	-16	6	8	-16	10	10

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Quadratic twists for elliptic curve 1320n1

-4	8	-3	5	-7	-11
2640e1	10560d1	3960c1	6600g1	64680bn1	14520y1

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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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