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	16	Product of Tamagawa factors cp
Δ	-20322604533582450 = -1 · 2 · 38 · 52 · 118 · 172	Discriminant
Eigenvalues	2- 3+ 5-  0 11+  6 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,52360,-5055253]	[a1,a2,a3,a4,a6]
j	15875306080318016639/20322604533582450	j-invariant
L	3.2856807483179	L(r)(E,1)/r!
Ω	0.20535504676987	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44880cy5 16830t6 28050y5 61710o5	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bb6

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 5610bb6

-4	-3	5	-11	17
44880cy5	16830t6	28050y5	61710o5	95370db5

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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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