Atkin-Lehner |
2- 3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
127512bl |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-187130697958512 = -1 · 24 · 36 · 78 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 5 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11085,-481021] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3773:1] |
Generators of the group modulo torsion |
j |
12914669408000/16043441183 |
j-invariant |
L |
8.1181877908447 |
L(r)(E,1)/r! |
Ω |
0.30409233218977 |
Real period |
R |
0.8342642749939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999770746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168g1 |
Quadratic twists by: -3 |