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	1464c	Isogeny class
Conductor	1464	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-2857728 = -1 · 28 · 3 · 612	Discriminant
Eigenvalues	2+ 3- -2  0 -2  2 -4 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4,80]	[a1,a2,a3,a4,a6]
Generators	[4:12:1]	Generators of the group modulo torsion
j	-35152/11163	j-invariant
L	2.9041728253162	L(r)(E,1)/r!
Ω	2.0686815656328	Real period
R	1.4038762048077	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	2928b2 11712d2 4392e2 36600u2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1464c2

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	-2	2	-4	-4	-6	0	8	-10	-2	8	-8	12	-10	-	-8	-6	2	-12	-12	-8	14

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Quadratic twists for elliptic curve 1464c2

-4	8	-3	5	-7	61
2928b2	11712d2	4392e2	36600u2	71736c2	89304m2

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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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