Cremona's table of elliptic curves

2314 = 2 · 13 · 89

Field	Data	Notes
Atkin-Lehner	2- 13+ 89+	Signs for the Atkin-Lehner involutions
Class	2314d	Isogeny class
Conductor	2314	Conductor
∏ cp	56	Product of Tamagawa factors cp
deg	86016	Modular degree for the optimal curve
Δ	-5404845796128456704 = -1 · 228 · 134 · 893	Discriminant
Eigenvalues	2-  3 -1  4 -2 13+  3  3	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-236928,-120280157]	[a1,a2,a3,a4,a6]
j	-1470859395018611591889/5404845796128456704	j-invariant
L	5.5506378458191	L(r)(E,1)/r!
Ω	0.099118532961055	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	18512g1 74048j1 20826k1 57850i1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2314d1

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
-	3	-1	4	-2	+	3	3	-1	-4	-5	-6	0	-11	4	9	-4	-2	-8	10	11	14	-12	+	-19

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Quadratic twists for elliptic curve 2314d1

-4	8	-3	5	-7	13
18512g1	74048j1	20826k1	57850i1	113386ba1	30082e1

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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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