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	1320i	Isogeny class
Conductor	1320	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	369515520 = 210 · 38 · 5 · 11	Discriminant
Eigenvalues	2- 3+ 5- -4 11+  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1200,16380]	[a1,a2,a3,a4,a6]
Generators	[22:12:1]	Generators of the group modulo torsion
j	186779563204/360855	j-invariant
L	2.2914023029425	L(r)(E,1)/r!
Ω	1.698450073414	Real period
R	1.3491137236296	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	2640n3 10560x4 3960f3 6600l4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320i4

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

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Quadratic twists for elliptic curve 1320i4

-4	8	-3	5	-7	-11
2640n3	10560x4	3960f3	6600l4	64680cq4	14520m3

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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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