Atkin-Lehner |
2- 3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592bv |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-162948132864 = -1 · 212 · 36 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ -2 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,919,-16503] |
[a1,a2,a3,a4,a6] |
j |
20933297216/39782259 |
j-invariant |
L |
2.1359003628549 |
L(r)(E,1)/r! |
Ω |
0.53397510319276 |
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 |
86592di1 43296p1 |
Quadratic twists by: -4 8 |