Atkin-Lehner |
2- 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582bb |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4059746005248 = 28 · 32 · 176 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5497,122873] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:451:1] |
Generators of the group modulo torsion |
j |
761048497/168192 |
j-invariant |
L |
18.582815629764 |
L(r)(E,1)/r! |
Ω |
0.73709289465721 |
Real period |
R |
3.1513693312563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438f1 |
Quadratic twists by: 17 |