Cremona's table of elliptic curves

1464 = 2³ · 3 · 61

Field	Data	Notes
Atkin-Lehner	2- 3+ 61-	Signs for the Atkin-Lehner involutions
Class	1464f	Isogeny class
Conductor	1464	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	960	Modular degree for the optimal curve
Δ	-53832629808 = -1 · 24 · 35 · 614	Discriminant
Eigenvalues	2- 3+ -2  0  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-1159,19240]	[a1,a2,a3,a4,a6]
Generators	[81:671:1]	Generators of the group modulo torsion
j	-10770322266112/3364539363	j-invariant
L	2.1898627692733	L(r)(E,1)/r!
Ω	1.0596581778204	Real period
R	4.133149377996	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	2928e1 11712j1 4392c1 36600l1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1464f1

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
-	+	-2	0	0	-2	6	4	4	-6	-8	-10	2	-4	0	-6	0	-	4	4	-6	0	-4	6	-14

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Quadratic twists for elliptic curve 1464f1

-4	8	-3	5	-7	61
2928e1	11712j1	4392c1	36600l1	71736n1	89304d1

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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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