Atkin-Lehner |
3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
126405q |
Isogeny class |
Conductor |
126405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
107045552617646625 = 36 · 53 · 537 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 -6 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3480878,-2498742044] |
[a1,a2,a3,a4,a6] |
j |
288673724529/6625 |
j-invariant |
L |
0.22105849671848 |
L(r)(E,1)/r! |
Ω |
0.1105294380291 |
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 |
14045c1 2385g1 |
Quadratic twists by: -3 53 |