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	5610bb	Isogeny class
Conductor	5610	Conductor
∏ cp	128	Product of Tamagawa factors cp
Δ	247623269602500 = 22 · 34 · 54 · 114 · 174	Discriminant
Eigenvalues	2- 3+ 5-  0 11+  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-19890,-778053]	[a1,a2,a3,a4,a6]
j	870220733067747361/247623269602500	j-invariant
L	3.2856807483179	L(r)(E,1)/r!
Ω	0.41071009353974	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	44880cy4 16830t3 28050y4 61710o4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bb3

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
-	+	-	0	+	6	-	4	0	6	0	-2	-6	-4	-8	14	12	-2	4	0	-6	-8	4	-6	2

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Quadratic twists for elliptic curve 5610bb3

-4	-3	5	-11	17
44880cy4	16830t3	28050y4	61710o4	95370db4

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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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