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	4	Product of Tamagawa factors cp
Δ	53336609187840 = 211 · 316 · 5 · 112	Discriminant
Eigenvalues	2- 3+ 5-  0 11+ -2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-28000,-1759508]	[a1,a2,a3,a4,a6]
Generators	[-2301:602:27]	Generators of the group modulo torsion
j	1185450336504002/26043266205	j-invariant
L	2.4221242269691	L(r)(E,1)/r!
Ω	0.36956373629899	Real period
R	6.5540094686387	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	2640m5 10560t5 3960e5 6600i5	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320h5

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 1320h5

-4	8	-3	5	-7	-11
2640m5	10560t5	3960e5	6600i5	64680cp6	14520h5

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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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