Atkin-Lehner |
3+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59565k |
Isogeny class |
Conductor |
59565 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
859411265625 = 36 · 56 · 11 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5- 2 11- -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2382,-4761] |
[a1,a2,a3,a4,a6] |
Generators |
[78:501:1] |
Generators of the group modulo torsion |
j |
218058504859/125296875 |
j-invariant |
L |
7.2019535125547 |
L(r)(E,1)/r! |
Ω |
0.74262178565287 |
Real period |
R |
1.6163350020527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59565t1 |
Quadratic twists by: -19 |