Cremona's table of elliptic curves

92 = 2² · 23

Field	Data	Notes
Atkin-Lehner	2- 23+	Signs for the Atkin-Lehner involutions
Class	92a	Isogeny class
Conductor	92	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	2	Modular degree for the optimal curve
Δ	-368 = -1 · 24 · 23	Discriminant
Eigenvalues	2-  1  0  2  0 -1 -6  2	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,2,1]	[a1,a2,a3,a4,a6]
j	32000/23	j-invariant
L	1.1367974781137	L(r)(E,1)/r!
Ω	3.4103924343412	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	368e1 1472b1 828d1 2300e1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 92a1

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	0	2	0	-1	-6	2	+	-3	5	8	3	8	9	6	-12	14	8	-15	-7	-10	6	0	-10

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Quadratic twists for elliptic curve 92a1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
368e1	1472b1	828d1	2300e1	4508b1	11132a1	15548a1	26588c1	33212b1	2116c1	77372a1	88412e1	125948d1

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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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