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	5610i	Isogeny class
Conductor	5610	Conductor
∏ cp	48	Product of Tamagawa factors cp
deg	18432	Modular degree for the optimal curve
Δ	3334993530000 = 24 · 3 · 54 · 113 · 174	Discriminant
Eigenvalues	2+ 3+ 5-  0 11-  2 17+  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-52377,-4634859]	[a1,a2,a3,a4,a6]
Generators	[-133:94:1]	Generators of the group modulo torsion
j	15891267085572193561/3334993530000	j-invariant
L	2.7244964274849	L(r)(E,1)/r!
Ω	0.31558677066899	Real period
R	0.71942612954206	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	44880cr1 16830ca1 28050dl1 61710bz1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610i1

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

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Quadratic twists for elliptic curve 5610i1

-4	-3	5	-11	17
44880cr1	16830ca1	28050dl1	61710bz1	95370x1

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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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