Cremona's table of elliptic curves

2366 = 2 · 7 · 13²

Field	Data	Notes
Atkin-Lehner	2- 7+ 13+	Signs for the Atkin-Lehner involutions
Class	2366k	Isogeny class
Conductor	2366	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	-1038010477282752064 = -1 · 26 · 76 · 1310	Discriminant
Eigenvalues	2- -2  3 7+  6 13+ -3  4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,27966,48987652]	[a1,a2,a3,a4,a6]
j	17546087/7529536	j-invariant
L	2.5821956699399	L(r)(E,1)/r!
Ω	0.21518297249499	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	18928bc2 75712m2 21294w2 59150p2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2366k2

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
-	-2	3	+	6	+	-3	4	-6	3	10	1	3	-10	0	-9	6	-7	-2	0	7	14	18	6	-2

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Quadratic twists for elliptic curve 2366k2

-4	8	-3	5	-7	13
18928bc2	75712m2	21294w2	59150p2	16562bq2	2366e2

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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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