Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66792z |
Isogeny class |
Conductor |
66792 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-2066610577450163184 = -1 · 24 · 39 · 1111 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44528524,-114353452343] |
[a1,a2,a3,a4,a6] |
Generators |
[2224952660713185259234016:360344193559580211302546247:79550773861012069069] |
Generators of the group modulo torsion |
j |
-344478821986234930432/72909237159 |
j-invariant |
L |
8.2229945275349 |
L(r)(E,1)/r! |
Ω |
0.029222002782091 |
Real period |
R |
35.174670388157 |
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 |
6072b1 |
Quadratic twists by: -11 |