Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582m |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3290112 |
Modular degree for the optimal curve |
Δ |
-359019578228101632 = -1 · 29 · 34 · 179 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 1 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4121291,3220097654] |
[a1,a2,a3,a4,a6] |
j |
-65280445609625/3027456 |
j-invariant |
L |
2.2781906373384 |
L(r)(E,1)/r! |
Ω |
0.28477391037328 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126582g1 |
Quadratic twists by: 17 |