Atkin-Lehner |
2- 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
101680w |
Isogeny class |
Conductor |
101680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
169556687360000 = 212 · 54 · 312 · 413 |
Discriminant |
Eigenvalues |
2- -2 5- -4 -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18840,767188] |
[a1,a2,a3,a4,a6] |
Generators |
[4962:50840:27] [-109:1240:1] |
Generators of the group modulo torsion |
j |
180563311508761/41395675625 |
j-invariant |
L |
7.0331512454337 |
L(r)(E,1)/r! |
Ω |
0.53911466618242 |
Real period |
R |
0.54357261433821 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000119 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6355h1 |
Quadratic twists by: -4 |