Atkin-Lehner |
2- 3- 17+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
126582bd |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
30759426 = 2 · 36 · 172 · 73 |
Discriminant |
Eigenvalues |
2- 3- 3 2 4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-159,711] |
[a1,a2,a3,a4,a6] |
j |
1538820433/106434 |
j-invariant |
L |
12.281867741468 |
L(r)(E,1)/r! |
Ω |
2.0469781715169 |
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 |
126582ba1 |
Quadratic twists by: 17 |