Cremona's table of elliptic curves

4655 = 5 · 7² · 19

Field	Data	Notes
Atkin-Lehner	5- 7- 19+	Signs for the Atkin-Lehner involutions
Class	4655o	Isogeny class
Conductor	4655	Conductor
∏ cp	4	Product of Tamagawa factors cp
deg	320	Modular degree for the optimal curve
Δ	-619115 = -1 · 5 · 73 · 192	Discriminant
Eigenvalues	0  1 5- 7- -3  1  1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,5,39]	[a1,a2,a3,a4,a6]
Generators	[3:9:1]	Generators of the group modulo torsion
j	32768/1805	j-invariant
L	3.7169361791192	L(r)(E,1)/r!
Ω	2.1983492482154	Real period
R	0.42269627791588	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	74480cu1 41895s1 23275h1 4655i1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655o1

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	1	1	+	6	1	-2	6	-2	0	3	-6	-8	-10	-10	-4	14	-3	0	-10	-17

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Quadratic twists for elliptic curve 4655o1

-4	-3	5	-7	-19
74480cu1	41895s1	23275h1	4655i1	88445bo1

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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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