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	2346b	Isogeny class
Conductor	2346	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	2400	Modular degree for the optimal curve
Δ	-1608380064 = -1 · 25 · 35 · 17 · 233	Discriminant
Eigenvalues	2+ 3+ -1  4  6 -6 17+ -8	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,57,-1899]	[a1,a2,a3,a4,a6]
Generators	[11:9:1]	Generators of the group modulo torsion
j	19924551431/1608380064	j-invariant
L	2.1675250084869	L(r)(E,1)/r!
Ω	0.71410512933394	Real period
R	3.0353023937927	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	18768w1 75072bd1 7038o1 58650cg1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346b1

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	6	-6	+	-8	+	-4	3	-10	-7	8	7	10	-6	-10	0	6	-16	-2	15	-11	6

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Quadratic twists for elliptic curve 2346b1

-4	8	-3	5	-7	17	-23
18768w1	75072bd1	7038o1	58650cg1	114954y1	39882u1	53958j1

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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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