Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870o |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6.0502240892608E+30 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12369314745,-516103378502675] |
[a1,a2,a3,a4,a6] |
j |
287099942490903701230558394328721/8299347173197257908489616000 |
j-invariant |
L |
1.8356528472991 |
L(r)(E,1)/r! |
Ω |
0.014341037869524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102960dm3 4290u3 64350en3 |
Quadratic twists by: -4 -3 5 |