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	2346a	Isogeny class
Conductor	2346	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	27360	Modular degree for the optimal curve
Δ	-49736717160677376 = -1 · 219 · 3 · 173 · 235	Discriminant
Eigenvalues	2+ 3+  1 -2  0  4 17+ -6	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-252212,49814352]	[a1,a2,a3,a4,a6]
Generators	[181:3093:1]	Generators of the group modulo torsion
j	-1774286061290599638601/49736717160677376	j-invariant
L	2.0634497005622	L(r)(E,1)/r!
Ω	0.35551624285426	Real period
R	5.804094023935	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	18768v1 75072be1 7038p1 58650ce1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346a1

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	-2	0	4	+	-6	+	6	-1	6	-5	6	-11	8	12	-14	-12	-6	2	0	-7	3	6

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Quadratic twists for elliptic curve 2346a1

-4	8	-3	5	-7	17	-23
18768v1	75072be1	7038p1	58650ce1	114954z1	39882v1	53958k1

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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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