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	4655l	Isogeny class
Conductor	4655	Conductor
∏ cp	18	Product of Tamagawa factors cp
deg	1008	Modular degree for the optimal curve
Δ	-108345125 = -1 · 53 · 74 · 192	Discriminant
Eigenvalues	-1 -1 5- 7+  4  0 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-50,-540]	[a1,a2,a3,a4,a6]
Generators	[48:-357:1]	Generators of the group modulo torsion
j	-5764801/45125	j-invariant
L	2.0873021150937	L(r)(E,1)/r!
Ω	0.79176571120346	Real period
R	0.14645901808511	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	74480bz1 41895n1 23275d1 4655e1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655l1

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
-1	-1	-	+	4	0	-4	-	3	-3	-6	-2	-1	-7	-8	12	8	7	-1	-8	10	6	-9	-5	-2

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Quadratic twists for elliptic curve 4655l1

-4	-3	5	-7	-19
74480bz1	41895n1	23275d1	4655e1	88445bc1

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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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