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	4655a	Isogeny class
Conductor	4655	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	672	Modular degree for the optimal curve
Δ	-28511875 = -1 · 54 · 74 · 19	Discriminant
Eigenvalues	0  0 5+ 7+  1  2  1 19+	Hecke eigenvalues for primes up to 20
Equation	[0,0,1,-98,453]	[a1,a2,a3,a4,a6]
Generators	[21:87:1]	Generators of the group modulo torsion
j	-43352064/11875	j-invariant
L	2.747990815375	L(r)(E,1)/r!
Ω	1.9948434890882	Real period
R	0.22959117932531	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	74480x1 41895be1 23275a1 4655r1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655a1

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	0	+	+	1	2	1	+	-3	-2	-2	12	10	-4	3	-8	10	-13	6	-2	-11	12	-9	-6	-2

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Quadratic twists for elliptic curve 4655a1

-4	-3	5	-7	-19
74480x1	41895be1	23275a1	4655r1	88445c1

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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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