Atkin-Lehner |
2- 3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12834u |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-176749994204928 = -1 · 28 · 310 · 233 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 6 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11111,-779745] |
[a1,a2,a3,a4,a6] |
Generators |
[185:1770:1] |
Generators of the group modulo torsion |
j |
-208074558647593/242455410432 |
j-invariant |
L |
6.8693968298553 |
L(r)(E,1)/r! |
Ω |
0.22250115868066 |
Real period |
R |
0.64319860086983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672bk1 4278a1 |
Quadratic twists by: -4 -3 |