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	1320h	Isogeny class
Conductor	1320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2534400 = 210 · 32 · 52 · 11	Discriminant
Eigenvalues	2- 3+ 5-  0 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-52800,4687452]	[a1,a2,a3,a4,a6]
Generators	[169:750:1]	Generators of the group modulo torsion
j	15897679904620804/2475	j-invariant
L	2.4221242269691	L(r)(E,1)/r!
Ω	1.4782549451959	Real period
R	3.2770047343194	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	2640m3 10560t4 3960e3 6600i4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320h4

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	+	-2	-6	-4	0	6	-8	6	10	-4	-8	-10	-12	6	-4	0	-14	0	4	-6	-14

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Quadratic twists for elliptic curve 1320h4

-4	8	-3	5	-7	-11
2640m3	10560t4	3960e3	6600i4	64680cp4	14520h3

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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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