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	216	Product of Tamagawa factors cp
deg	13824	Modular degree for the optimal curve
Δ	-3037581803520 = -1 · 218 · 36 · 5 · 11 · 172	Discriminant
Eigenvalues	2- 3- 5+ -4 11+  2 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2066,91140]	[a1,a2,a3,a4,a6]
Generators	[-44:334:1]	Generators of the group modulo torsion
j	-975276594443809/3037581803520	j-invariant
L	5.8803292339245	L(r)(E,1)/r!
Ω	0.70337659415993	Real period
R	1.3933572434142	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	44880bi1 16830bh1 28050h1 61710bd1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610be1

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 5610be1

-4	-3	5	-11	17
44880bi1	16830bh1	28050h1	61710bd1	95370ct1

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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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