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	2346d	Isogeny class
Conductor	2346	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	50898365568 = 27 · 32 · 174 · 232	Discriminant
Eigenvalues	2+ 3+  0  0  2 -2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-6005,176301]	[a1,a2,a3,a4,a6]
Generators	[-55:614:1]	Generators of the group modulo torsion
j	23953873173009625/50898365568	j-invariant
L	2.0436028590558	L(r)(E,1)/r!
Ω	1.1274263402184	Real period
R	0.45315662455164	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	18768z2 75072bt2 7038k2 58650by2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346d2

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	0	2	-2	-	-2	-	-10	0	12	6	-6	8	-4	4	0	-10	0	-2	-16	-6	6	6

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Quadratic twists for elliptic curve 2346d2

-4	8	-3	5	-7	17	-23
18768z2	75072bt2	7038k2	58650by2	114954t2	39882r2	53958a2

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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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