Cremona's table of elliptic curves

368 = 2⁴ · 23

Field	Data	Notes
Atkin-Lehner	2+ 23+	Signs for the Atkin-Lehner involutions
Class	368g	Isogeny class
Conductor	368	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	48	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2+ -3  0  2  0 -5 -6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-55,157]	[a1,a2,a3,a4,a6]
Generators	[4:1:1]	Generators of the group modulo torsion
j	-1149984000/23	j-invariant
L	1.2657315051753	L(r)(E,1)/r!
Ω	4.9462587639534	Real period
R	0.25589674248332	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	184d1 1472k1 3312e1 9200j1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 368g1

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	0	2	0	-5	-6	-6	+	9	-3	-8	3	8	-7	-2	-4	-10	-8	-7	9	6	14	16	6

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Quadratic twists for elliptic curve 368g1

-4	8	-3	5	-7	-11	13	17	-23
184d1	1472k1	3312e1	9200j1	18032g1	44528e1	62192d1	106352g1	8464j1

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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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