Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cq |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
13248000 |
Modular degree for the optimal curve |
Δ |
-221047478420855328 = -1 · 25 · 36 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11- 6 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42265877,-105752234995] |
[a1,a2,a3,a4,a6] |
Generators |
[9013471154893:3412932316442788:62570773] |
Generators of the group modulo torsion |
j |
-146265917771209/3872 |
j-invariant |
L |
6.5481577103197 |
L(r)(E,1)/r! |
Ω |
0.029605478713789 |
Real period |
R |
22.118060557723 |
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 |
11638b1 104742by1 |
Quadratic twists by: -3 -23 |