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	5610n	Isogeny class
Conductor	5610	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	796539777000000 = 26 · 3 · 56 · 11 · 176	Discriminant
Eigenvalues	2+ 3- 5+  2 11- -4 17+  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-23844,403426]	[a1,a2,a3,a4,a6]
Generators	[-789:28381:27]	Generators of the group modulo torsion
j	1499114720492202169/796539777000000	j-invariant
L	3.4461483901171	L(r)(E,1)/r!
Ω	0.44093646039504	Real period
R	3.9077607542702	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	44880bc3 16830cp3 28050cj3 61710co3	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610n3

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	6	-4	-10	6	-10	0	12	6	-10	8	-6	-16	-10	-12	6	-10

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Quadratic twists for elliptic curve 5610n3

-4	-3	5	-11	17
44880bc3	16830cp3	28050cj3	61710co3	95370p3

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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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