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	16	Product of Tamagawa factors cp
Δ	56248660224 = 28 · 310 · 612	Discriminant
Eigenvalues	2- 3+ -2  0  0 -2  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-19764,1076004]	[a1,a2,a3,a4,a6]
Generators	[-40:1342:1]	Generators of the group modulo torsion
j	3335264310828112/219721329	j-invariant
L	2.1898627692733	L(r)(E,1)/r!
Ω	1.0596581778204	Real period
R	2.066574688998	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	2928e2 11712j2 4392c2 36600l2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1464f2

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 1464f2

-4	8	-3	5	-7	61
2928e2	11712j2	4392c2	36600l2	71736n2	89304d2

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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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