Atkin-Lehner |
2+ 3- 5+ 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670m |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10536960 |
Modular degree for the optimal curve |
Δ |
-7.3999607421654E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8242695,-15943537859] |
[a1,a2,a3,a4,a6] |
Generators |
[783475419625782407865:-20626928360172374363047:202641610705759863] |
Generators of the group modulo torsion |
j |
-84957926418953778391921/101508377807482076160 |
j-invariant |
L |
5.7158412341744 |
L(r)(E,1)/r! |
Ω |
0.042601119795444 |
Real period |
R |
33.54278787558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998879106 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40890ba1 |
Quadratic twists by: -3 |