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	2346f	Isogeny class
Conductor	2346	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1152	Modular degree for the optimal curve
Δ	-174443868 = -1 · 22 · 38 · 172 · 23	Discriminant
Eigenvalues	2+ 3-  0 -4 -2  6 17+ -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,84,-554]	[a1,a2,a3,a4,a6]
Generators	[8:21:1]	Generators of the group modulo torsion
j	66676466375/174443868	j-invariant
L	2.5617694111616	L(r)(E,1)/r!
Ω	0.93051156290241	Real period
R	0.34413454830844	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	18768i1 75072l1 7038n1 58650bo1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346f1

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

---

Quadratic twists for elliptic curve 2346f1

-4	8	-3	5	-7	17	-23
18768i1	75072l1	7038n1	58650bo1	114954i1	39882b1	53958x1

---

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