Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416bm |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-414134290612224 = -1 · 219 · 311 · 73 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ -1 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62508,6094384] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:3321:1] [-10:2592:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
9.0520414230867 |
L(r)(E,1)/r! |
Ω |
0.53276949801365 |
Real period |
R |
1.0619087448744 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416fu1 1638p1 17472u1 |
Quadratic twists by: -4 8 -3 |