Cremona's table of elliptic curves

9954 = 2 · 3² · 7 · 79

Field	Data	Notes
Atkin-Lehner	2- 3- 7- 79-	Signs for the Atkin-Lehner involutions
Class	9954j	Isogeny class
Conductor	9954	Conductor
∏ cp	392	Product of Tamagawa factors cp
deg	351232	Modular degree for the optimal curve
Δ	5098364444576858112 = 214 · 314 · 77 · 79	Discriminant
Eigenvalues	2- 3-  0 7-  0  0  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-12229835,16464562395]	[a1,a2,a3,a4,a6]
Generators	[1541:34950:1]	Generators of the group modulo torsion
j	277496777264177185611625/6993641213411328	j-invariant
L	6.9007211685885	L(r)(E,1)/r!
Ω	0.2248078167101	Real period
R	0.31322541697586	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	79632p1 3318c1 69678bf1	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for elliptic curve 9954j1

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

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Quadratic twists for elliptic curve 9954j1

-4	-3	-7
79632p1	3318c1	69678bf1

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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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