Cremona's table of elliptic curves

92 = 2² · 23

Field	Data	Notes
Atkin-Lehner	2- 23-	Signs for the Atkin-Lehner involutions
Class	92b	Isogeny class
Conductor	92	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	6	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]
Generators	[1:-1:1]	Generators of the group modulo torsion
j	-6912/23	j-invariant
L	0.70335749198463	L(r)(E,1)/r!
Ω	4.7070877612302	Real period
R	0.049808397298065	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	368f1 1472f1 828c1 2300b1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 92b1

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 92b1

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31	37
368f1	1472f1	828c1	2300b1	4508d1	11132h1	15548d1	26588a1	33212g1	2116d1	77372c1	88412c1	125948b1

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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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