Cremona's table of elliptic curves

464 = 2⁴ · 29

Field	Data	Notes
Atkin-Lehner	2- 29+	Signs for the Atkin-Lehner involutions
Class	464f	Isogeny class
Conductor	464	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	-7424 = -1 · 28 · 29	Discriminant
Eigenvalues	2-  3  3 -4  1 -3  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-4831,129242]	[a1,a2,a3,a4,a6]
j	-48707390098512/29	j-invariant
L	2.5655588248539	L(r)(E,1)/r!
Ω	2.5655588248539	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	116a1 1856p1 4176bj1 11600x1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 464f1

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
-	3	3	-4	1	-3	2	-4	6	+	-9	-8	-8	5	7	-5	10	10	-8	2	0	1	-6	12	0

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Quadratic twists for elliptic curve 464f1

-4	8	-3	5	-7	-11	13	29
116a1	1856p1	4176bj1	11600x1	22736bg1	56144v1	78416q1	13456k1

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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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