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	5610s	Isogeny class
Conductor	5610	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	31472100 = 22 · 32 · 52 · 112 · 172	Discriminant
Eigenvalues	2+ 3- 5-  4 11-  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-173,-844]	[a1,a2,a3,a4,a6]
j	567869252041/31472100	j-invariant
L	2.64372836241	L(r)(E,1)/r!
Ω	1.321864181205	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	44880bt2 16830cc2 28050cn2 61710da2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610s2

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

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Quadratic twists for elliptic curve 5610s2

-4	-3	5	-11	17
44880bt2	16830cc2	28050cn2	61710da2	95370d2

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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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