Atkin-Lehner |
2- 3- 5- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
104130bx |
Isogeny class |
Conductor |
104130 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
829440 |
Modular degree for the optimal curve |
Δ |
-9607456828125000 = -1 · 23 · 312 · 59 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 4 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175757,28793981] |
[a1,a2,a3,a4,a6] |
Generators |
[441:-6296:1] |
Generators of the group modulo torsion |
j |
-823629247481814409/13178953125000 |
j-invariant |
L |
12.980725874912 |
L(r)(E,1)/r! |
Ω |
0.40984867520281 |
Real period |
R |
0.29325922802651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34710i1 |
Quadratic twists by: -3 |