Cremona's table of elliptic curves

943 = 23 · 41

Field	Data	Notes
Atkin-Lehner	23+ 41-	Signs for the Atkin-Lehner involutions
Class	943a	Isogeny class
Conductor	943	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	72	Modular degree for the optimal curve
Δ	-38663 = -1 · 23 · 412	Discriminant
Eigenvalues	1  0 -2  2  2  6  8 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-13,24]	[a1,a2,a3,a4,a6]
j	-253636137/38663	j-invariant
L	1.758080887876	L(r)(E,1)/r!
Ω	3.516161775752	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	15088f1 60352d1 8487j1 23575c1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 943a1

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	2	2	6	8	-2	+	2	8	10	-	-8	12	-4	12	-6	-14	-8	-6	10	0	8	-16

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Quadratic twists for elliptic curve 943a1

-4	8	-3	5	-7	-11	-23	41
15088f1	60352d1	8487j1	23575c1	46207b1	114103a1	21689a1	38663a1

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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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