Atkin-Lehner |
3+ 7+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
128037a |
Isogeny class |
Conductor |
128037 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
10981236834477 = 37 · 78 · 13 · 67 |
Discriminant |
Eigenvalues |
0 3+ 0 7+ 6 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8003,227450] |
[a1,a2,a3,a4,a6] |
j |
9834496000/1904877 |
j-invariant |
L |
2.0475859567723 |
L(r)(E,1)/r! |
Ω |
0.68252855619511 |
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 |
128037k1 |
Quadratic twists by: -7 |