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	432	Product of Tamagawa factors cp
Δ	13992628953600 = 29 · 312 · 52 · 112 · 17	Discriminant
Eigenvalues	2- 3- 5+ -4 11+  2 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-45586,3738116]	[a1,a2,a3,a4,a6]
Generators	[-184:2522:1]	Generators of the group modulo torsion
j	10476561483361670689/13992628953600	j-invariant
L	5.8803292339245	L(r)(E,1)/r!
Ω	0.70337659415993	Real period
R	0.6966786217071	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	44880bi2 16830bh2 28050h2 61710bd2	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610be2

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 5610be2

-4	-3	5	-11	17
44880bi2	16830bh2	28050h2	61710bd2	95370ct2

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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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