Cremona's table of elliptic curves

5610 = 2 · 3 · 5 · 11 · 17

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 11+ 17-	Signs for the Atkin-Lehner involutions
Class	5610r	Isogeny class
Conductor	5610	Conductor
∏ cp	216	Product of Tamagawa factors cp
deg	46080	Modular degree for the optimal curve
Δ	-10093752054144000 = -1 · 210 · 33 · 53 · 112 · 176	Discriminant
Eigenvalues	2+ 3- 5-  2 11+ -4 17-  8	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-43898,5987756]	[a1,a2,a3,a4,a6]
j	-9354997870579612441/10093752054144000	j-invariant
L	2.2197265013923	L(r)(E,1)/r!
Ω	0.36995441689872	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	44880bz1 16830ce1 28050by1 61710cx1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610r1

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

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Quadratic twists for elliptic curve 5610r1

-4	-3	5	-11	17
44880bz1	16830ce1	28050by1	61710cx1	95370h1

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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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