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	2	Product of Tamagawa factors cp
Δ	26400000000 = 211 · 3 · 58 · 11	Discriminant
Eigenvalues	2- 3+ 5+  4 11+  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1616,-23220]	[a1,a2,a3,a4,a6]
j	228027144098/12890625	j-invariant
L	1.5112128205815	L(r)(E,1)/r!
Ω	0.75560641029076	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2640j3 10560bf3 3960l3 6600m3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320f3

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 1320f3

-4	8	-3	5	-7	-11
2640j3	10560bf3	3960l3	6600m3	64680dg4	14520f3

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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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