Atkin-Lehner |
2- 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136bm |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3461266059264 = -1 · 212 · 36 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3- -1 3 1 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1752,-84944] |
[a1,a2,a3,a4,a6] |
Generators |
[428:8892:1] |
Generators of the group modulo torsion |
j |
199176704/1159171 |
j-invariant |
L |
7.0213074826879 |
L(r)(E,1)/r! |
Ω |
0.39654229322989 |
Real period |
R |
0.73776362182209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136j1 7904d1 |
Quadratic twists by: -4 -3 |