Cremona's table of elliptic curves

5655 = 3 · 5 · 13 · 29

Field	Data	Notes
Atkin-Lehner	3+ 5+ 13+ 29+	Signs for the Atkin-Lehner involutions
Class	5655a	Isogeny class
Conductor	5655	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-48640097025 = -1 · 34 · 52 · 134 · 292	Discriminant
Eigenvalues	1 3+ 5+  2 -6 13+  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-78,-10647]	[a1,a2,a3,a4,a6]
Generators	[24:33:1]	Generators of the group modulo torsion
j	-53540005609/48640097025	j-invariant
L	3.6546789607408	L(r)(E,1)/r!
Ω	0.5094524274784	Real period
R	1.7934348545703	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90480br2 16965q2 28275j2 73515d2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5655a2

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	+	+	2	-6	+	2	6	2	+	10	-2	2	12	-12	2	-4	2	-10	-16	-10	-14	14	-14	6

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Quadratic twists for elliptic curve 5655a2

-4	-3	5	13
90480br2	16965q2	28275j2	73515d2

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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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