Cremona's table of elliptic curves

5600 = 2⁵ · 5² · 7

Field	Data	Notes
Atkin-Lehner	2- 5+ 7+	Signs for the Atkin-Lehner involutions
Class	5600q	Isogeny class
Conductor	5600	Conductor
∏ cp	8	Product of Tamagawa factors cp
deg	253440	Modular degree for the optimal curve
Δ	-5.2521875E+19	Discriminant
Eigenvalues	2- -3 5+ 7+  1  1  3  8	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,747800,244186000]	[a1,a2,a3,a4,a6]
j	722603599520256/820654296875	j-invariant
L	1.0634480473225	L(r)(E,1)/r!
Ω	0.13293100591531	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	5600h1 11200l1 50400u1 1120e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 5600q1

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
-	-3	+	+	1	1	3	8	-4	3	-6	8	10	12	-3	-12	0	2	-4	-12	10	-13	0	-6	-5

---

Quadratic twists for elliptic curve 5600q1

-4	8	-3	5	-7
5600h1	11200l1	50400u1	1120e1	39200ch1

---

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