Atkin-Lehner |
2- 3- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
32148a |
Isogeny class |
Conductor |
32148 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
62325223697664 = 28 · 315 · 192 · 47 |
Discriminant |
Eigenvalues |
2- 3- 1 -5 5 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9912,52] |
[a1,a2,a3,a4,a6] |
Generators |
[101:171:1] |
Generators of the group modulo torsion |
j |
577085415424/333961461 |
j-invariant |
L |
5.0181593075986 |
L(r)(E,1)/r! |
Ω |
0.52558109560215 |
Real period |
R |
2.3869576691345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128592l1 10716a1 |
Quadratic twists by: -4 -3 |