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	2	Product of Tamagawa factors cp
deg	128	Modular degree for the optimal curve
Δ	2640 = 24 · 3 · 5 · 11	Discriminant
Eigenvalues	2+ 3+ 5-  0 11- -6 -6  0	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-55,-140]	[a1,a2,a3,a4,a6]
Generators	[12:28:1]	Generators of the group modulo torsion
j	1171019776/165	j-invariant
L	2.4245550258402	L(r)(E,1)/r!
Ω	1.750477441157	Real period
R	2.7701642635711	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	2640k1 10560p1 3960n1 6600bc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1320b1

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 1320b1

-4	8	-3	5	-7	-11
2640k1	10560p1	3960n1	6600bc1	64680z1	14520be1

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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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