Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091o |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-306081526850099 = -1 · 78 · 11 · 136 |
Discriminant |
Eigenvalues |
0 3 -1 7- 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,16562,-188393] |
[a1,a2,a3,a4,a6] |
Generators |
[67509:1065941:729] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
8.9112444226599 |
L(r)(E,1)/r! |
Ω |
0.31598603079951 |
Real period |
R |
7.0503468122849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013r1 539b1 |
Quadratic twists by: -7 13 |