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	8	Product of Tamagawa factors cp
Δ	674657280 = 210 · 32 · 5 · 114	Discriminant
Eigenvalues	2- 3+ 5- -4 11+  2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1000,-11780]	[a1,a2,a3,a4,a6]
Generators	[-18:8:1]	Generators of the group modulo torsion
j	108108036004/658845	j-invariant
L	2.2914023029425	L(r)(E,1)/r!
Ω	0.84922503670698	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	2640n4 10560x3 3960f4 6600l3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320i3

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 1320i3

-4	8	-3	5	-7	-11
2640n4	10560x3	3960f4	6600l3	64680cq3	14520m4

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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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