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	5610bf	Isogeny class
Conductor	5610	Conductor
∏ cp	243	Product of Tamagawa factors cp
deg	45360	Modular degree for the optimal curve
Δ	-979226371031040 = -1 · 227 · 33 · 5 · 11 · 173	Discriminant
Eigenvalues	2- 3- 5+ -1 11+ -4 17- -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-145146,-21349404]	[a1,a2,a3,a4,a6]
j	-338173143620095981729/979226371031040	j-invariant
L	3.3014652014373	L(r)(E,1)/r!
Ω	0.12227648894212	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	44880bl1 16830bc1 28050a1 61710y1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bf1

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
-	-	+	-1	+	-4	-	-4	9	9	-1	2	12	-1	0	0	6	2	8	-6	2	-4	12	0	17

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Quadratic twists for elliptic curve 5610bf1

-4	-3	5	-11	17
44880bl1	16830bc1	28050a1	61710y1	95370cr1

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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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