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	8	Product of Tamagawa factors cp
deg	1344	Modular degree for the optimal curve
Δ	-8821260288 = -1 · 214 · 34 · 172 · 23	Discriminant
Eigenvalues	2+ 3+  0  0  2 -2 17- -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-245,4653]	[a1,a2,a3,a4,a6]
Generators	[-13:83:1]	Generators of the group modulo torsion
j	-1636774161625/8821260288	j-invariant
L	2.0436028590558	L(r)(E,1)/r!
Ω	1.1274263402184	Real period
R	0.90631324910328	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	18768z1 75072bt1 7038k1 58650by1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2346d1

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 2346d1

-4	8	-3	5	-7	17	-23
18768z1	75072bt1	7038k1	58650by1	114954t1	39882r1	53958a1

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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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