Cremona's table of elliptic curves

368 = 2⁴ · 23

Field	Data	Notes
Atkin-Lehner	2- 23+	Signs for the Atkin-Lehner involutions
Class	368b	Isogeny class
Conductor	368	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	69337088 = 217 · 232	Discriminant
Eigenvalues	2-  0  4  4 -2 -2 -2  2	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2723,54690]	[a1,a2,a3,a4,a6]
j	545138290809/16928	j-invariant
L	1.8184117666542	L(r)(E,1)/r!
Ω	1.8184117666542	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	46a2 1472i2 3312r2 9200ba2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 368b2

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
-	0	4	4	-2	-2	-2	2	+	2	0	-4	6	-10	0	-4	-12	-8	10	0	6	12	-14	-6	6

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Quadratic twists for elliptic curve 368b2

-4	8	-3	5	-7	-11	13	17	-23
46a2	1472i2	3312r2	9200ba2	18032q2	44528o2	62192j2	106352r2	8464m2

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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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