Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bm |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4792320 |
Modular degree for the optimal curve |
Δ |
1.072100625E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13878008,19841518512] |
[a1,a2,a3,a4,a6] |
j |
4618757595675440881/16751572265625 |
j-invariant |
L |
0.62380791926189 |
L(r)(E,1)/r! |
Ω |
0.15595199204958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6225g1 19920s1 |
Quadratic twists by: -4 5 |