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
Δ	-222750000000000 = -1 · 210 · 34 · 512 · 11	Discriminant
Eigenvalues	2- 3- 5- -4 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,13800,360000]	[a1,a2,a3,a4,a6]
Generators	[0:600:1]	Generators of the group modulo torsion
j	283811208976796/217529296875	j-invariant
L	2.9676960704447	L(r)(E,1)/r!
Ω	0.35868483055002	Real period
R	0.34474277249355	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2640e4 10560d4 3960c4 6600g4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320n4

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 1320n4

-4	8	-3	5	-7	-11
2640e4	10560d4	3960c4	6600g4	64680bn3	14520y4

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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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