Atkin-Lehner |
2+ 3- 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86904c |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108544 |
Modular degree for the optimal curve |
Δ |
-92368697328 = -1 · 24 · 314 · 17 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 3 4 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,15959] |
[a1,a2,a3,a4,a6] |
j |
-2615888128/7919127 |
j-invariant |
L |
3.767235629961 |
L(r)(E,1)/r! |
Ω |
0.94180890198687 |
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 |
28968j1 |
Quadratic twists by: -3 |