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	4655c	Isogeny class
Conductor	4655	Conductor
∏ cp	18	Product of Tamagawa factors cp
Δ	-617824532171875 = -1 · 56 · 78 · 193	Discriminant
Eigenvalues	0 -2 5+ 7+ -3 -4  3 19-	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-6631,1211606]	[a1,a2,a3,a4,a6]
Generators	[-38:1187:1] [114:1396:1]	Generators of the group modulo torsion
j	-5594251264/107171875	j-invariant
L	2.9647897307256	L(r)(E,1)/r!
Ω	0.43270846537879	Real period
R	0.3806501461708	Regulator
r	2	Rank of the group of rational points
S	1.0000000000005	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74480v2 41895bg2 23275c2 4655p2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4655c2

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

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Quadratic twists for elliptic curve 4655c2

-4	-3	5	-7	-19
74480v2	41895bg2	23275c2	4655p2	88445d2

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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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