Cremona's table of elliptic curves

368 = 2⁴ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23-	Signs for the Atkin-Lehner involutions
Class	368c	Isogeny class
Conductor	368	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	16	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2+  1 -2  4  2  7 -4  6	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,-4,-5]	[a1,a2,a3,a4,a6]
j	-562432/23	j-invariant
L	1.6505359739053	L(r)(E,1)/r!
Ω	1.6505359739053	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	184b1 1472n1 3312c1 9200b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 368c1

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	4	2	7	-4	6	-	5	-3	2	-9	-8	1	-6	8	-10	-2	13	-3	-6	0	-4	-8

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Quadratic twists for elliptic curve 368c1

-4	8	-3	5	-7	-11	13	17	-23
184b1	1472n1	3312c1	9200b1	18032k1	44528g1	62192e1	106352b1	8464d1

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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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