Atkin-Lehner |
2- 5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120640bw |
Isogeny class |
Conductor |
120640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
10120016691200 = 230 · 52 · 13 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 4 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11201,-433601] |
[a1,a2,a3,a4,a6] |
j |
592915705201/38604800 |
j-invariant |
L |
0.93193148687088 |
L(r)(E,1)/r! |
Ω |
0.46596505284028 |
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 |
120640e1 30160be1 |
Quadratic twists by: -4 8 |