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	1320k	Isogeny class
Conductor	1320	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	256	Modular degree for the optimal curve
Δ	784080 = 24 · 34 · 5 · 112	Discriminant
Eigenvalues	2- 3- 5+ -2 11+ -4  4  0	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-131,534]	[a1,a2,a3,a4,a6]
Generators	[-5:33:1]	Generators of the group modulo torsion
j	15657723904/49005	j-invariant
L	2.8347699973399	L(r)(E,1)/r!
Ω	2.8448563588537	Real period
R	0.24911363174081	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	2640d1 10560m1 3960k1 6600c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320k1

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

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Quadratic twists for elliptic curve 1320k1

-4	8	-3	5	-7	-11
2640d1	10560m1	3960k1	6600c1	64680bv1	14520q1

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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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