Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400cw |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11058224328000000 = -1 · 29 · 314 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100875,-13329250] |
[a1,a2,a3,a4,a6] |
Generators |
[893113:7873074:2197] |
Generators of the group modulo torsion |
j |
-19465109000/1896129 |
j-invariant |
L |
8.8523001391516 |
L(r)(E,1)/r! |
Ω |
0.13320753270504 |
Real period |
R |
8.3068689462268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400v2 40800h2 4896e2 |
Quadratic twists by: -4 -3 5 |