Atkin-Lehner |
2- 3+ 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
12090x |
Isogeny class |
Conductor |
12090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
4644864 |
Modular degree for the optimal curve |
Δ |
-1.1149139324455E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,37565610,134010483795] |
[a1,a2,a3,a4,a6] |
j |
5862664580088804686022644639/11149139324455378527191040 |
j-invariant |
L |
0.79170518189675 |
L(r)(E,1)/r! |
Ω |
0.049481573868547 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
96720dh1 36270r1 60450bj1 |
Quadratic twists by: -4 -3 5 |