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	4655k	Isogeny class
Conductor	4655	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	28800	Modular degree for the optimal curve
Δ	-2230671731946875 = -1 · 55 · 711 · 192	Discriminant
Eigenvalues	-2  1 5+ 7- -3  1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-10306,-2311200]	[a1,a2,a3,a4,a6]
Generators	[177:1200:1]	Generators of the group modulo torsion
j	-1029077364736/18960396875	j-invariant
L	1.9570910370989	L(r)(E,1)/r!
Ω	0.19885034305492	Real period
R	1.2302537470091	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	74480bh1 41895by1 23275w1 665d1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655k1

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	1	+	-	-3	1	-3	-	4	5	8	-12	8	4	7	4	10	-2	-12	-8	6	-15	-4	-10	7

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Quadratic twists for elliptic curve 4655k1

-4	-3	5	-7	-19
74480bh1	41895by1	23275w1	665d1	88445w1

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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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