Atkin-Lehner |
2+ 3- 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128502j |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
8243660304 = 24 · 38 · 113 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11+ 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-963,10885] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:125:1] [-19:158:1] |
Generators of the group modulo torsion |
j |
101847563/8496 |
j-invariant |
L |
7.9822455057021 |
L(r)(E,1)/r! |
Ω |
1.2787491545988 |
Real period |
R |
1.5605573385805 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999950526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834u1 128502bm1 |
Quadratic twists by: -3 -11 |