Atkin-Lehner |
2+ 3- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832l |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-2115796598784 = -1 · 217 · 37 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1,69983] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:144:1] [59:528:1] |
Generators of the group modulo torsion |
j |
-2/16142247 |
j-invariant |
L |
13.80566986581 |
L(r)(E,1)/r! |
Ω |
0.65533210442418 |
Real period |
R |
0.37619066339693 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996904 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128832bd1 16104f1 |
Quadratic twists by: -4 8 |