Cremona's table of elliptic curves

2346 = 2 · 3 · 17 · 23

Field	Data	Notes
Atkin-Lehner	2+ 3- 17- 23+	Signs for the Atkin-Lehner involutions
Class	2346g	Isogeny class
Conductor	2346	Conductor
∏ cp	1	Product of Tamagawa factors cp
Δ	-4964136 = -1 · 23 · 3 · 17 · 233	Discriminant
Eigenvalues	2+ 3- -3  2  0 -4 17-  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-2830,-58168]	[a1,a2,a3,a4,a6]
Generators	[5556:35179:64]	Generators of the group modulo torsion
j	-2505315353383513/4964136	j-invariant
L	2.4677945736661	L(r)(E,1)/r!
Ω	0.32729644141948	Real period
R	7.5399370765026	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	18768t2 75072u2 7038l2 58650bi2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346g2

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
+	-	-3	2	0	-4	-	2	+	-6	5	2	-3	-10	9	-12	-12	2	8	6	2	8	-9	-15	-10

---

Quadratic twists for elliptic curve 2346g2

-4	8	-3	5	-7	17	-23
18768t2	75072u2	7038l2	58650bi2	114954f2	39882m2	53958t2

---

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