Atkin-Lehner |
2- 3+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129948p |
Isogeny class |
Conductor |
129948 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4354560 |
Modular degree for the optimal curve |
Δ |
3.4601915552257E+20 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -2 13- 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2429926,-1150102883] |
[a1,a2,a3,a4,a6] |
j |
2457540546886912/535917327543 |
j-invariant |
L |
0.73677879103597 |
L(r)(E,1)/r! |
Ω |
0.12279656450881 |
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 |
129948bb1 |
Quadratic twists by: -7 |