Atkin-Lehner |
7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91091l |
Isogeny class |
Conductor |
91091 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-306081526850099 = -1 · 78 · 11 · 136 |
Discriminant |
Eigenvalues |
0 -1 3 7- 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-739769,-244657008] |
[a1,a2,a3,a4,a6] |
Generators |
[414797011090:-1473693159657:415160936] |
Generators of the group modulo torsion |
j |
-78843215872/539 |
j-invariant |
L |
5.8521473111684 |
L(r)(E,1)/r! |
Ω |
0.081394545019953 |
Real period |
R |
17.974629963635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013a1 539a1 |
Quadratic twists by: -7 13 |