Atkin-Lehner |
3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129285f |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259584 |
Modular degree for the optimal curve |
Δ |
-234012750586875 = -1 · 33 · 54 · 138 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 3 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,13182,-449836] |
[a1,a2,a3,a4,a6] |
j |
11501568/10625 |
j-invariant |
L |
1.2208812045756 |
L(r)(E,1)/r! |
Ω |
0.30522010046343 |
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 |
129285h1 129285j1 |
Quadratic twists by: -3 13 |