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	1320f	Isogeny class
Conductor	1320	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	384	Modular degree for the optimal curve
Δ	211200 = 28 · 3 · 52 · 11	Discriminant
Eigenvalues	2- 3+ 5+  4 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-276,1860]	[a1,a2,a3,a4,a6]
j	9115564624/825	j-invariant
L	1.5112128205815	L(r)(E,1)/r!
Ω	3.022425641163	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2640j1 10560bf1 3960l1 6600m1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320f1

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

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Quadratic twists for elliptic curve 1320f1

-4	8	-3	5	-7	-11
2640j1	10560bf1	3960l1	6600m1	64680dg1	14520f1

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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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