Cremona's table of elliptic curves

5922 = 2 · 3² · 7 · 47

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 47-	Signs for the Atkin-Lehner involutions
Class	5922q	Isogeny class
Conductor	5922	Conductor
∏ cp	576	Product of Tamagawa factors cp
Δ	-559989117841047552 = -1 · 224 · 38 · 72 · 473	Discriminant
Eigenvalues	2- 3-  0 7-  6 -4 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,89185,34491143]	[a1,a2,a3,a4,a6]
Generators	[-69:5326:1]	Generators of the group modulo torsion
j	107615839766636375/768160655474688	j-invariant
L	6.0961670712272	L(r)(E,1)/r!
Ω	0.21207120456707	Real period
R	1.7966156354395	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	47376be3 1974c3 41454bp3	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 5922q3

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

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Quadratic twists for elliptic curve 5922q3

-4	-3	-7
47376be3	1974c3	41454bp3

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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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