Atkin-Lehner |
2- 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
5192b |
Isogeny class |
Conductor |
5192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-114224 = -1 · 24 · 112 · 59 |
Discriminant |
Eigenvalues |
2- -1 3 -1 11- -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1,16] |
[a1,a2,a3,a4,a6] |
Generators |
[5:11:1] |
Generators of the group modulo torsion |
j |
2048/7139 |
j-invariant |
L |
3.6394930774826 |
L(r)(E,1)/r! |
Ω |
2.6146979650185 |
Real period |
R |
0.34798408135229 |
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 |
10384a1 41536c1 46728e1 129800h1 |
Quadratic twists by: -4 8 -3 5 |