Atkin-Lehner |
5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525l |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
104653580078125 = 59 · 133 · 293 |
Discriminant |
Eigenvalues |
2 1 5- 3 -4 13- 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12458,206119] |
[a1,a2,a3,a4,a6] |
j |
49836032/24389 |
j-invariant |
L |
6.3533932626977 |
L(r)(E,1)/r! |
Ω |
0.52944938183076 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122525o1 122525n1 |
Quadratic twists by: 5 13 |