Atkin-Lehner |
2- 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
29904g |
Isogeny class |
Conductor |
29904 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
832320 |
Modular degree for the optimal curve |
Δ |
-8.3529391274673E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2348704,-1454338828] |
[a1,a2,a3,a4,a6] |
j |
-349823363639236564897/20392917791668128 |
j-invariant |
L |
2.0662149255908 |
L(r)(E,1)/r! |
Ω |
0.060771027223288 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3738b1 119616v1 89712bg1 |
Quadratic twists by: -4 8 -3 |