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	5610bl	Isogeny class
Conductor	5610	Conductor
∏ cp	336	Product of Tamagawa factors cp
deg	10752	Modular degree for the optimal curve
Δ	-527357952000 = -1 · 214 · 34 · 53 · 11 · 172	Discriminant
Eigenvalues	2- 3- 5- -4 11- -2 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1595,25025]	[a1,a2,a3,a4,a6]
Generators	[50:-505:1]	Generators of the group modulo torsion
j	448733772344879/527357952000	j-invariant
L	6.4720463317462	L(r)(E,1)/r!
Ω	0.6184409671959	Real period
R	0.12458451930404	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	44880bs1 16830s1 28050p1 61710bl1	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610bl1

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	-2	-8	-6	4	8	4	-12	-12	-6	6	-4	-2	-10	8	-10	-12

---

Quadratic twists for elliptic curve 5610bl1

-4	-3	5	-11	17
44880bs1	16830s1	28050p1	61710bl1	95370bw1

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations