Atkin-Lehner |
2- 3+ 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
129648l |
Isogeny class |
Conductor |
129648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
298410283008 = 212 · 36 · 372 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 0 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5352,150192] |
[a1,a2,a3,a4,a6] |
j |
4139932137193/72854073 |
j-invariant |
L |
3.8896092029047 |
L(r)(E,1)/r! |
Ω |
0.97240271988891 |
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 |
8103d1 |
Quadratic twists by: -4 |