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	5610bd	Isogeny class
Conductor	5610	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	137332800 = 26 · 33 · 52 · 11 · 172	Discriminant
Eigenvalues	2- 3+ 5- -2 11- -4 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-200,-1015]	[a1,a2,a3,a4,a6]
Generators	[-7:13:1]	Generators of the group modulo torsion
j	885012508801/137332800	j-invariant
L	4.9686909050925	L(r)(E,1)/r!
Ω	1.2827524902147	Real period
R	0.6455767244	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	44880ct1 16830q1 28050bf1 61710p1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bd1

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
-	+	-	-2	-	-4	-	-2	6	-2	-8	-6	2	-6	8	0	10	-6	-8	-10	12	-6	4	-18	-2

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Quadratic twists for elliptic curve 5610bd1

-4	-3	5	-11	17
44880ct1	16830q1	28050bf1	61710p1	95370cz1

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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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