Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490co |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-945768150 = -1 · 2 · 39 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,238,-489] |
[a1,a2,a3,a4,a6] |
Generators |
[22:93:8] |
Generators of the group modulo torsion |
j |
2136551/1350 |
j-invariant |
L |
11.069090198687 |
L(r)(E,1)/r! |
Ω |
0.90146624323352 |
Real period |
R |
3.0697461713434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000329 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28830d1 86490cj1 |
Quadratic twists by: -3 -31 |