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	5610bl	Isogeny class
Conductor	5610	Conductor
∏ cp	672	Product of Tamagawa factors cp
Δ	26991954000000 = 27 · 38 · 56 · 112 · 17	Discriminant
Eigenvalues	2- 3- 5- -4 11- -2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-9285,236097]	[a1,a2,a3,a4,a6]
Generators	[234:-3417:1]	Generators of the group modulo torsion
j	88526309511756241/26991954000000	j-invariant
L	6.4720463317462	L(r)(E,1)/r!
Ω	0.6184409671959	Real period
R	0.06229225965202	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	44880bs2 16830s2 28050p2 61710bl2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bl2

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
-	-	-	-4	-	-2	+	-2	-6	-2	-8	-6	4	8	4	-12	-12	-6	6	-4	-2	-10	8	-10	-12

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Quadratic twists for elliptic curve 5610bl2

-4	-3	5	-11	17
44880bs2	16830s2	28050p2	61710bl2	95370bw2

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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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