Cremona's table of elliptic curves

368 = 2⁴ · 23

Field	Data	Notes
Atkin-Lehner	2- 23+	Signs for the Atkin-Lehner involutions
Class	368f	Isogeny class
Conductor	368	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	24	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2-  3 -2  4 -2 -5  4  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-1,-1]	[a1,a2,a3,a4,a6]
j	-6912/23	j-invariant
L	2.196583050122	L(r)(E,1)/r!
Ω	2.196583050122	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	92b1 1472l1 3312q1 9200bd1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 368f1

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	-2	4	-2	-5	4	2	+	-7	3	2	-9	8	-9	2	0	-2	-14	3	-3	6	-8	12	0

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Quadratic twists for elliptic curve 368f1

-4	8	-3	5	-7	-11	13	17	-23
92b1	1472l1	3312q1	9200bd1	18032w1	44528q1	62192l1	106352v1	8464q1

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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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