Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400cn |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
4.6115447753538E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9871383,5976369738] |
[a1,a2,a3,a4,a6] |
Generators |
[72634:6523125:8] |
Generators of the group modulo torsion |
j |
425517822354901374976/184461791014153125 |
j-invariant |
L |
8.574319160576 |
L(r)(E,1)/r! |
Ω |
0.10227817318178 |
Real period |
R |
6.9861103271305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999273558 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080d1 |
Quadratic twists by: 5 |