Atkin-Lehner |
2- 5+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
81070q |
Isogeny class |
Conductor |
81070 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
10543104 |
Modular degree for the optimal curve |
Δ |
-2.228435191595E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 11- -4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50802808,-139379136773] |
[a1,a2,a3,a4,a6] |
Generators |
[11821:948969:1] |
Generators of the group modulo torsion |
j |
-119839913341580818256703129/18416819765248000000 |
j-invariant |
L |
10.749294557489 |
L(r)(E,1)/r! |
Ω |
0.028274414875662 |
Real period |
R |
4.3201981390672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81070b1 |
Quadratic twists by: -11 |