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	6	Product of Tamagawa factors cp
Δ	-5251421875 = -1 · 56 · 72 · 193	Discriminant
Eigenvalues	0  2 5- 7- -3  4 -3 19+	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-135,-3494]	[a1,a2,a3,a4,a6]
Generators	[20:37:1]	Generators of the group modulo torsion
j	-5594251264/107171875	j-invariant
L	4.4935100532347	L(r)(E,1)/r!
Ω	0.58600942113818	Real period
R	1.2779971024206	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	74480cw2 41895t2 23275j2 4655c2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655p2

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 4655p2

-4	-3	5	-7	-19
74480cw2	41895t2	23275j2	4655c2	88445bq2

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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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