Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129591t |
Isogeny class |
Conductor |
129591 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
-932712373359459 = -1 · 37 · 72 · 116 · 173 |
Discriminant |
Eigenvalues |
2 3- -1 7- 11- -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,21417,-838863] |
[a1,a2,a3,a4,a6] |
j |
841232384/722211 |
j-invariant |
L |
2.1907106925462 |
L(r)(E,1)/r! |
Ω |
0.27383892311841 |
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 |
43197o1 1071b1 |
Quadratic twists by: -3 -11 |