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	1320a	Isogeny class
Conductor	1320	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-5702400 = -1 · 28 · 34 · 52 · 11	Discriminant
Eigenvalues	2+ 3+ 5+  2 11+ -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,44,-44]	[a1,a2,a3,a4,a6]
Generators	[6:20:1]	Generators of the group modulo torsion
j	35969456/22275	j-invariant
L	2.2948151091053	L(r)(E,1)/r!
Ω	1.3865563315425	Real period
R	0.82752321593468	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	2640i2 10560bc2 3960r2 6600ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320a2

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	0	-4	4	6	-8	-10	-6	6	12	-10	4	-14	-8	-8	-4	0	-14	-18	-10

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Quadratic twists for elliptic curve 1320a2

-4	8	-3	5	-7	-11
2640i2	10560bc2	3960r2	6600ba2	64680be2	14520bb2

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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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