Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136j |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
8 |
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 |
[40:468:1] |
Generators of the group modulo torsion |
j |
199176704/1159171 |
j-invariant |
L |
4.8360091702228 |
L(r)(E,1)/r! |
Ω |
0.57241093947379 |
Real period |
R |
1.0560614842829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999986331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136bm1 7904e1 |
Quadratic twists by: -4 -3 |