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	5610m	Isogeny class
Conductor	5610	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	993794670 = 2 · 312 · 5 · 11 · 17	Discriminant
Eigenvalues	2+ 3- 5+  0 11- -2 17+  0	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-9989,383402]	[a1,a2,a3,a4,a6]
Generators	[60:1:1]	Generators of the group modulo torsion
j	110211585818155849/993794670	j-invariant
L	3.2845868029366	L(r)(E,1)/r!
Ω	1.4079345262794	Real period
R	0.77763720344213	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	44880ba4 16830co3 28050ch4 61710cm4	Quadratic twists by: -4 -3 5 -11

Hecke Eigenvalues for elliptic curve 5610m3

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
+	-	+	0	-	-2	+	0	8	-6	-8	-10	-6	12	8	-10	-4	14	-4	0	-14	8	12	10	-18

---

Quadratic twists for elliptic curve 5610m3

-4	-3	5	-11	17
44880ba4	16830co3	28050ch4	61710cm4	95370n4

---

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