Atkin-Lehner |
3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285i |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1138176 |
Modular degree for the optimal curve |
Δ |
-6823811807113275 = -1 · 39 · 52 · 138 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 5 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-474552,-125889748] |
[a1,a2,a3,a4,a6] |
j |
-736100352/425 |
j-invariant |
L |
1.0913535232578 |
L(r)(E,1)/r! |
Ω |
0.090945992678598 |
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 |
129285g1 129285b1 |
Quadratic twists by: -3 13 |