Atkin-Lehner |
2- 7- 11+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
108878k |
Isogeny class |
Conductor |
108878 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
556416 |
Modular degree for the optimal curve |
Δ |
-1164616115683328 = -1 · 221 · 72 · 11 · 1013 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 11+ 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-161706,-25041943] |
[a1,a2,a3,a4,a6] |
Generators |
[465:151:1] |
Generators of the group modulo torsion |
j |
-9543408578983956033/23767675830272 |
j-invariant |
L |
7.7835005372158 |
L(r)(E,1)/r! |
Ω |
0.11902095788719 |
Real period |
R |
3.1140976335225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999845805 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108878j1 |
Quadratic twists by: -7 |