Cremona's table of elliptic curves

22560 = 2⁵ · 3 · 5 · 47

Field	Data	Notes
Atkin-Lehner	2+ 3- 5- 47-	Signs for the Atkin-Lehner involutions
Class	22560h	Isogeny class
Conductor	22560	Conductor
∏ cp	60	Product of Tamagawa factors cp
deg	23040	Modular degree for the optimal curve
Δ	-5847552000 = -1 · 212 · 35 · 53 · 47	Discriminant
Eigenvalues	2+ 3- 5- -5 -4 -5 -5 -1	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-65,3663]	[a1,a2,a3,a4,a6]
Generators	[-14:45:1] [-9:60:1]	Generators of the group modulo torsion
j	-7529536/1427625	j-invariant
L	8.1941142110978	L(r)(E,1)/r!
Ω	1.1006573166207	Real period
R	0.12407910084519	Regulator
r	2	Rank of the group of rational points
S	0.99999999999992	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	22560q1 45120f1 67680v1 112800bq1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22560h1

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
+	-	-	-5	-4	-5	-5	-1	-7	-9	4	-10	5	-2	-	-9	9	-11	-2	11	-2	-8	-8	12	-8

---

Quadratic twists for elliptic curve 22560h1

-4	8	-3	5
22560q1	45120f1	67680v1	112800bq1

---

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