Cremona's table of elliptic curves

2370 = 2 · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 5- 79-	Signs for the Atkin-Lehner involutions
Class	2370o	Isogeny class
Conductor	2370	Conductor
∏ cp	280	Product of Tamagawa factors cp
deg	4480	Modular degree for the optimal curve
Δ	-110574720000 = -1 · 210 · 37 · 54 · 79	Discriminant
Eigenvalues	2- 3- 5- -5 -3 -5 -3  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-2255,44025]	[a1,a2,a3,a4,a6]
Generators	[40:-155:1]	Generators of the group modulo torsion
j	-1268163904241521/110574720000	j-invariant
L	4.8279563375337	L(r)(E,1)/r!
Ω	1.0323246014331	Real period
R	0.016702790170398	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	18960m1 75840i1 7110j1 11850g1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2370o1

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	-3	-5	-3	2	1	-1	4	-4	-10	-11	0	-6	-6	-8	6	6	-5	-	-5	0	3

---

Quadratic twists for elliptic curve 2370o1

-4	8	-3	5	-7
18960m1	75840i1	7110j1	11850g1	116130ci1

---

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