Atkin-Lehner |
3- 5- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195q |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
120721579875 = 38 · 53 · 133 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 0 13+ 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-266432,52999656] |
[a1,a2,a3,a4,a6] |
Generators |
[296:-81:1] |
Generators of the group modulo torsion |
j |
2869153675683713209/165598875 |
j-invariant |
L |
4.4705817660351 |
L(r)(E,1)/r! |
Ω |
0.78846709458123 |
Real period |
R |
0.94499436454127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13065b1 |
Quadratic twists by: -3 |