Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592s |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-336669696 = -1 · 210 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 -3 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19997,-1081779] |
[a1,a2,a3,a4,a6] |
j |
-863654446077952/328779 |
j-invariant |
L |
0.80294624516844 |
L(r)(E,1)/r! |
Ω |
0.20073658320535 |
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 |
86592cy1 10824g1 |
Quadratic twists by: -4 8 |