Atkin-Lehner |
2+ 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986h |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2396160 |
Modular degree for the optimal curve |
Δ |
-9061482263190962176 = -1 · 226 · 117 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 0 1 -1 11- 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2839469,-1846612443] |
[a1,a2,a3,a4,a6] |
Generators |
[931329862:32296039517:357911] |
Generators of the group modulo torsion |
j |
-1429154174078259201/5114970505216 |
j-invariant |
L |
4.5598789775229 |
L(r)(E,1)/r! |
Ω |
0.058138954623458 |
Real period |
R |
9.8038375004885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000151122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726j1 |
Quadratic twists by: -11 |