Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285a |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-35343286875 = -1 · 39 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 3 13+ 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,702,5528] |
[a1,a2,a3,a4,a6] |
Generators |
[18:671:8] |
Generators of the group modulo torsion |
j |
11501568/10625 |
j-invariant |
L |
4.8664473156702 |
L(r)(E,1)/r! |
Ω |
0.75890487271597 |
Real period |
R |
1.6031150425583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095312 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129285j1 129285h1 |
Quadratic twists by: -3 13 |