Atkin-Lehner |
2- 3+ 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126672bl |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
629760 |
Modular degree for the optimal curve |
Δ |
199355212130256 = 24 · 32 · 710 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13- 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-72917,-7523880] |
[a1,a2,a3,a4,a6] |
j |
2679761000672002048/12459700758141 |
j-invariant |
L |
2.9061185743854 |
L(r)(E,1)/r! |
Ω |
0.29061188741548 |
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 |
31668c1 |
Quadratic twists by: -4 |