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	5610be	Isogeny class
Conductor	5610	Conductor
∏ cp	24	Product of Tamagawa factors cp
Δ	-2313151512408000 = -1 · 26 · 32 · 53 · 113 · 176	Discriminant
Eigenvalues	2- 3- 5+ -4 11+  2 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,18094,-2114364]	[a1,a2,a3,a4,a6]
Generators	[184:2638:1]	Generators of the group modulo torsion
j	655127711084516831/2313151512408000	j-invariant
L	5.8803292339245	L(r)(E,1)/r!
Ω	0.23445886471998	Real period
R	4.1800717302426	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	44880bi3 16830bh3 28050h3 61710bd3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610be3

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
-	-	+	-4	+	2	+	2	6	-6	-4	-10	0	-4	-12	0	0	-10	14	-12	2	2	0	6	-16

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Quadratic twists for elliptic curve 5610be3

-4	-3	5	-11	17
44880bi3	16830bh3	28050h3	61710bd3	95370ct3

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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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