Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592dp |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-231460416 = -1 · 26 · 36 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- 0 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44,726] |
[a1,a2,a3,a4,a6] |
Generators |
[25:126:1] |
Generators of the group modulo torsion |
j |
-150568768/3616569 |
j-invariant |
L |
8.7310560436162 |
L(r)(E,1)/r! |
Ω |
1.4790379224146 |
Real period |
R |
1.9677331919708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592ca1 43296d2 |
Quadratic twists by: -4 8 |