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	4655p	Isogeny class
Conductor	4655	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	864	Modular degree for the optimal curve
Δ	-23275 = -1 · 52 · 72 · 19	Discriminant
Eigenvalues	0  2 5- 7- -3  4 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-275,-1667]	[a1,a2,a3,a4,a6]
Generators	[37:193:1]	Generators of the group modulo torsion
j	-47109013504/475	j-invariant
L	4.4935100532347	L(r)(E,1)/r!
Ω	0.58600942113818	Real period
R	3.8339913072619	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	74480cw1 41895t1 23275j1 4655c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655p1

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	2	-	-	-3	4	-3	+	-9	0	10	-10	6	-4	3	-12	0	1	-10	0	-11	-4	3	0	-2

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Quadratic twists for elliptic curve 4655p1

-4	-3	5	-7	-19
74480cw1	41895t1	23275j1	4655c1	88445bq1

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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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