Cremona's table of elliptic curves

2923 = 37 · 79

Field	Data	Notes
Atkin-Lehner	37+ 79+	Signs for the Atkin-Lehner involutions
Class	2923a	Isogeny class
Conductor	2923	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	1728	Modular degree for the optimal curve
Δ	316125373 = 373 · 792	Discriminant
Eigenvalues	2 -1  0  5 -5  0  0 -8	Hecke eigenvalues for primes up to 20
Equation	[0,-1,1,-198,717]	[a1,a2,a3,a4,a6]
Generators	[26:75:8]	Generators of the group modulo torsion
j	862801408000/316125373	j-invariant
L	5.5759896725355	L(r)(E,1)/r!
Ω	1.5726956232357	Real period
R	1.7727491544306	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	46768e1 26307c1 73075d1 108151b1	Quadratic twists by: -4 -3 5 37

Hecke Eigenvalues for elliptic curve 2923a1

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
2	-1	0	5	-5	0	0	-8	-4	-6	8	+	5	-8	1	-1	0	-4	-4	3	-1	+	9	8	8

---

Quadratic twists for elliptic curve 2923a1

-4	-3	5	37
46768e1	26307c1	73075d1	108151b1

---

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