Atkin-Lehner |
2- 3- 5+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450ch |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
169733276367187500 = 22 · 32 · 516 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-139063,-2358883] |
[a1,a2,a3,a4,a6] |
j |
19034376867801001/10862929687500 |
j-invariant |
L |
8.5629231525216 |
L(r)(E,1)/r! |
Ω |
0.26759135008172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17490c2 |
Quadratic twists by: 5 |