Atkin-Lehner |
3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
92565bv |
Isogeny class |
Conductor |
92565 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-6037612755075 = -1 · 36 · 52 · 117 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- -3 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,-120123] |
[a1,a2,a3,a4,a6] |
Generators |
[407:8167:1] |
Generators of the group modulo torsion |
j |
-262144/4675 |
j-invariant |
L |
4.6476599292576 |
L(r)(E,1)/r! |
Ω |
0.32522327845421 |
Real period |
R |
1.7863342831848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10285c1 8415m1 |
Quadratic twists by: -3 -11 |