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	5610u	Isogeny class
Conductor	5610	Conductor
∏ cp	110	Product of Tamagawa factors cp
deg	15840	Modular degree for the optimal curve
Δ	-6625297800000 = -1 · 26 · 311 · 55 · 11 · 17	Discriminant
Eigenvalues	2+ 3- 5- -1 11-  5 17- -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,777,-123494]	[a1,a2,a3,a4,a6]
Generators	[95:852:1]	Generators of the group modulo torsion
j	51974460932759/6625297800000	j-invariant
L	3.7448924299929	L(r)(E,1)/r!
Ω	0.35505423474632	Real period
R	0.095885285414561	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	44880bu1 16830bx1 28050cd1 61710cu1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610u1

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	-	5	-	-5	-5	-2	-9	-7	-10	-12	-2	-10	4	13	-5	-2	-12	-2	15	2	13

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Quadratic twists for elliptic curve 5610u1

-4	-3	5	-11	17
44880bu1	16830bx1	28050cd1	61710cu1	95370a1

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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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