Atkin-Lehner |
2- 3- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
11952o |
Isogeny class |
Conductor |
11952 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-247836672 = -1 · 212 · 36 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 3 3 -6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-398] |
[a1,a2,a3,a4,a6] |
Generators |
[9:40:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
5.7308561905582 |
L(r)(E,1)/r! |
Ω |
0.97412526392063 |
Real period |
R |
1.4707698287931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
747d1 47808bz1 1328e1 |
Quadratic twists by: -4 8 -3 |