Cremona's table of elliptic curves

2366 = 2 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2+ 7- 13-	Signs for the Atkin-Lehner involutions
Class	2366h	Isogeny class
Conductor	2366	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-30758 = -1 · 2 · 7 · 133	Discriminant
Eigenvalues	2+ -1 -2 7-  5 13-  2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-16,-34]	[a1,a2,a3,a4,a6]
Generators	[5:4:1]	Generators of the group modulo torsion
j	-226981/14	j-invariant
L	1.8176528061635	L(r)(E,1)/r!
Ω	1.1798143167682	Real period
R	0.77031308246132	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18928t1 75712bp1 21294cw1 59150br1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366h1

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
+	-1	-2	-	5	-	2	-4	-9	0	5	3	5	-4	13	14	-6	-13	-3	0	1	-15	-6	-6	7

---

Quadratic twists for elliptic curve 2366h1

-4	8	-3	5	-7	13
18928t1	75712bp1	21294cw1	59150br1	16562u1	2366n1

---

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