Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976ch |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1257984 |
Modular degree for the optimal curve |
Δ |
-18817824443072512 = -1 · 221 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 2 4 2 11+ 13+ 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38081,-7180447] |
[a1,a2,a3,a4,a6] |
j |
-28561/88 |
j-invariant |
L |
8.519806043848 |
L(r)(E,1)/r! |
Ω |
0.15777419753295 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976bn1 29744bg1 118976dg1 |
Quadratic twists by: -4 8 13 |