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	384	Product of Tamagawa factors cp
Δ	3175524000000 = 28 · 38 · 56 · 112	Discriminant
Eigenvalues	2- 3- 5- -4 11- -6 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4020,46368]	[a1,a2,a3,a4,a6]
Generators	[-54:330:1]	Generators of the group modulo torsion
j	28071778927696/12404390625	j-invariant
L	2.9676960704447	L(r)(E,1)/r!
Ω	0.71736966110004	Real period
R	0.17237138624678	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	2640e2 10560d2 3960c2 6600g2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320n2

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 1320n2

-4	8	-3	5	-7	-11
2640e2	10560d2	3960c2	6600g2	64680bn2	14520y2

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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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