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	4655d	Isogeny class
Conductor	4655	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-3354393581875 = -1 · 54 · 710 · 19	Discriminant
Eigenvalues	1  0 5+ 7- -4  2 -2 19+	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,3715,12116]	[a1,a2,a3,a4,a6]
j	48188806119/28511875	j-invariant
L	0.96710250115917	L(r)(E,1)/r!
Ω	0.48355125057958	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	74480bm3 41895bl3 23275m3 665b4	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655d4

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	0	+	-	-4	2	-2	+	-8	6	8	-6	-6	4	-8	-6	12	2	4	-12	6	12	4	10	-2

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Quadratic twists for elliptic curve 4655d4

-4	-3	5	-7	-19
74480bm3	41895bl3	23275m3	665b4	88445p3

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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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