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	5655h	Isogeny class
Conductor	5655	Conductor
∏ cp	576	Product of Tamagawa factors cp
Δ	199454797863140625 = 312 · 56 · 134 · 292	Discriminant
Eigenvalues	1 3- 5-  0  0 13- -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9304248,10922909353]	[a1,a2,a3,a4,a6]
Generators	[719:67500:1]	Generators of the group modulo torsion
j	89077388930693421764046841/199454797863140625	j-invariant
L	5.8438087448568	L(r)(E,1)/r!
Ω	0.27401688449344	Real period
R	0.59240152660868	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	90480bl2 16965i2 28275d2 73515i2	Quadratic twists by: -4 -3 5 13

Hecke Eigenvalues for elliptic curve 5655h2

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	0	-	-2	0	-8	-	-4	2	-6	-12	-8	6	12	-2	4	0	-2	4	-4	10	-18

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Quadratic twists for elliptic curve 5655h2

-4	-3	5	13
90480bl2	16965i2	28275d2	73515i2

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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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