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	40	Product of Tamagawa factors cp
Δ	-2.5245983495741E+19	Discriminant
Eigenvalues	-2  1 5+ 7- -3  1 -3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-816356,372608380]	[a1,a2,a3,a4,a6]
Generators	[-1048:8844:1]	Generators of the group modulo torsion
j	-511416541770305536/214587319023035	j-invariant
L	1.9570910370989	L(r)(E,1)/r!
Ω	0.19885034305492	Real period
R	0.24605074940182	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	74480bh2 41895by2 23275w2 665d2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655k2

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 4655k2

-4	-3	5	-7	-19
74480bh2	41895by2	23275w2	665d2	88445w2

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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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