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	5610c	Isogeny class
Conductor	5610	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	49920	Modular degree for the optimal curve
Δ	-22000592486400000 = -1 · 226 · 3 · 55 · 112 · 172	Discriminant
Eigenvalues	2+ 3+ 5+ -2 11+  0 17- -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-22788,-7267632]	[a1,a2,a3,a4,a6]
j	-1308796492121439049/22000592486400000	j-invariant
L	0.32797806890516	L(r)(E,1)/r!
Ω	0.16398903445258	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	44880cq1 16830cv1 28050cz1 61710bp1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610c1

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	+	0	-	-8	-4	-6	-4	-2	0	10	8	-6	6	-2	-10	6	-8	-4	16	-18	-8

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Quadratic twists for elliptic curve 5610c1

-4	-3	5	-11	17
44880cq1	16830cv1	28050cz1	61710bp1	95370bs1

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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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