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	1320b	Isogeny class
Conductor	1320	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-570240000 = -1 · 210 · 34 · 54 · 11	Discriminant
Eigenvalues	2+ 3+ 5-  0 11- -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,160,-900]	[a1,a2,a3,a4,a6]
Generators	[10:40:1]	Generators of the group modulo torsion
j	439608956/556875	j-invariant
L	2.4245550258402	L(r)(E,1)/r!
Ω	0.87523872057849	Real period
R	0.69254106589277	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	2640k4 10560p4 3960n4 6600bc4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320b4

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

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Quadratic twists for elliptic curve 1320b4

-4	8	-3	5	-7	-11
2640k4	10560p4	3960n4	6600bc4	64680z3	14520be4

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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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