Atkin-Lehner |
2- 3- 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31350bu |
Isogeny class |
Conductor |
31350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
4582213366579200 = 228 · 33 · 52 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 3 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-96008,10969152] |
[a1,a2,a3,a4,a6] |
Generators |
[16:3064:1] |
Generators of the group modulo torsion |
j |
3914770025721578665/183288534663168 |
j-invariant |
L |
10.947180057364 |
L(r)(E,1)/r! |
Ω |
0.43002484586457 |
Real period |
R |
0.30306056351108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94050y1 31350i1 |
Quadratic twists by: -3 5 |