Atkin-Lehner |
5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605bd |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
206032896 |
Modular degree for the optimal curve |
Δ |
-1.8589310976289E+24 |
Discriminant |
Eigenvalues |
-1 -3 5- 7- -1 2 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15892338447,-771129975665766] |
[a1,a2,a3,a4,a6] |
j |
-48181043296511332209/201768035 |
j-invariant |
L |
0.21513859016338 |
L(r)(E,1)/r! |
Ω |
0.0067231470073352 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515c1 129605l1 |
Quadratic twists by: -7 -23 |