Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
58176bp |
Isogeny class |
Conductor |
58176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-4169102524416 = -1 · 221 · 39 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 4 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-972,-98928] |
[a1,a2,a3,a4,a6] |
Generators |
[6945:17037:125] |
Generators of the group modulo torsion |
j |
-19683/808 |
j-invariant |
L |
8.259787650211 |
L(r)(E,1)/r! |
Ω |
0.34078165710948 |
Real period |
R |
6.0594426649373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000172 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58176d1 14544j1 58176bm1 |
Quadratic twists by: -4 8 -3 |