Cremona's table of elliptic curves

1364 = 2² · 11 · 31

Field	Data	Notes
Atkin-Lehner	2- 11- 31+	Signs for the Atkin-Lehner involutions
Class	1364b	Isogeny class
Conductor	1364	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	360	Modular degree for the optimal curve
Δ	-878694256 = -1 · 24 · 116 · 31	Discriminant
Eigenvalues	2-  0  1 -3 11-  2  0  1	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-797,8777]	[a1,a2,a3,a4,a6]
Generators	[-8:121:1]	Generators of the group modulo torsion
j	-3499279992576/54918391	j-invariant
L	2.6480067137974	L(r)(E,1)/r!
Ω	1.5821442853255	Real period
R	0.27894703181813	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5456f1 21824a1 12276a1 34100c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1364b1

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	1	-3	-	2	0	1	2	-10	+	-8	-3	2	-8	-6	-3	-6	0	5	-2	10	-4	-6	-7

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Quadratic twists for elliptic curve 1364b1

-4	8	-3	5	-7	-11	-31
5456f1	21824a1	12276a1	34100c1	66836h1	15004a1	42284c1

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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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