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	5610j	Isogeny class
Conductor	5610	Conductor
∏ cp	6	Product of Tamagawa factors cp
deg	10080	Modular degree for the optimal curve
Δ	-253364474880 = -1 · 210 · 37 · 5 · 113 · 17	Discriminant
Eigenvalues	2+ 3+ 5-  3 11- -1 17+ -5	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4242,107316]	[a1,a2,a3,a4,a6]
Generators	[20:166:1]	Generators of the group modulo torsion
j	-8444922396903721/253364474880	j-invariant
L	2.9366461486696	L(r)(E,1)/r!
Ω	0.98081436061638	Real period
R	0.49901494557103	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44880cs1 16830cb1 28050dn1 61710cd1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610j1

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
+	+	-	3	-	-1	+	-5	5	-6	1	-3	2	-8	-6	-10	-12	11	-7	-10	0	-2	7	-10	-7

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Quadratic twists for elliptic curve 5610j1

-4	-3	5	-11	17
44880cs1	16830cb1	28050dn1	61710cd1	95370y1

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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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