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	5610n	Isogeny class
Conductor	5610	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	10449720703125000 = 23 · 32 · 512 · 112 · 173	Discriminant
Eigenvalues	2+ 3- 5+  2 11- -4 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-220364,-39529438]	[a1,a2,a3,a4,a6]
Generators	[39636:482575:64]	Generators of the group modulo torsion
j	1183430669265454849849/10449720703125000	j-invariant
L	3.4461483901171	L(r)(E,1)/r!
Ω	0.22046823019752	Real period
R	7.8155215085405	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	44880bc4 16830cp4 28050cj4 61710co4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610n4

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	+	2	-6	6	-4	-10	6	-10	0	12	6	-10	8	-6	-16	-10	-12	6	-10

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Quadratic twists for elliptic curve 5610n4

-4	-3	5	-11	17
44880bc4	16830cp4	28050cj4	61710co4	95370p4

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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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