Atkin-Lehner |
2- 3- 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116886br |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-3943454011752024 = -1 · 23 · 33 · 7 · 118 · 233 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 11- 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281509,-57592039] |
[a1,a2,a3,a4,a6] |
Generators |
[5470:64057:8] |
Generators of the group modulo torsion |
j |
-1392658229178217/2225976984 |
j-invariant |
L |
17.142878982962 |
L(r)(E,1)/r! |
Ω |
0.10362269242622 |
Real period |
R |
3.0636216272919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10626f1 |
Quadratic twists by: -11 |