Atkin-Lehner |
2+ 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890bs |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
474163200 |
Modular degree for the optimal curve |
Δ |
-7.8258950632449E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -5 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-66581867340,6612903101541456] |
[a1,a2,a3,a4,a6] |
Generators |
[236438318525980948843725:139372537910180821395215373:512528181520796875] |
Generators of the group modulo torsion |
j |
-158519866173123187194406609/3800371842888336000 |
j-invariant |
L |
3.9147934261689 |
L(r)(E,1)/r! |
Ω |
0.026246164838038 |
Real period |
R |
37.289194919778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630dp1 127890ch1 |
Quadratic twists by: -3 -7 |