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	22560g	Isogeny class
Conductor	22560	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	187379750400 = 29 · 3 · 52 · 474	Discriminant
Eigenvalues	2+ 3- 5+  4  0  2  2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-1536,9660]	[a1,a2,a3,a4,a6]
Generators	[-6258:37835:216]	Generators of the group modulo torsion
j	783267508232/365976075	j-invariant
L	7.050506198622	L(r)(E,1)/r!
Ω	0.90237472685233	Real period
R	3.9066398851925	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	22560m3 45120s3 67680ba3 112800bp3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 22560g3

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

---

Quadratic twists for elliptic curve 22560g3

-4	8	-3	5
22560m3	45120s3	67680ba3	112800bp3

---

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