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	2346h	Isogeny class
Conductor	2346	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	192	Modular degree for the optimal curve
Δ	-9384 = -1 · 23 · 3 · 17 · 23	Discriminant
Eigenvalues	2- 3+ -1 -4  2  2 17-  4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,4,5]	[a1,a2,a3,a4,a6]
Generators	[-1:1:1]	Generators of the group modulo torsion
j	6967871/9384	j-invariant
L	3.5239320998886	L(r)(E,1)/r!
Ω	2.7631522974	Real period
R	0.42511013033972	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	18768ba1 75072bo1 7038c1 58650u1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346h1

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	-4	2	2	-	4	+	-8	1	-6	-3	-4	1	6	-14	-10	4	-6	-16	-6	-11	-17	2

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Quadratic twists for elliptic curve 2346h1

-4	8	-3	5	-7	17	-23
18768ba1	75072bo1	7038c1	58650u1	114954cf1	39882bs1	53958bc1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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