Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285y |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1446144 |
Modular degree for the optimal curve |
Δ |
-9858056296193235 = -1 · 37 · 5 · 133 · 177 |
Discriminant |
Eigenvalues |
0 3- 5+ 4 4 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-907608,332843683] |
[a1,a2,a3,a4,a6] |
Generators |
[559:409:1] |
Generators of the group modulo torsion |
j |
-51625119824478208/6155080095 |
j-invariant |
L |
7.1700880780178 |
L(r)(E,1)/r! |
Ω |
0.39245854701978 |
Real period |
R |
2.2837087177732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000050862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43095j1 129285bg1 |
Quadratic twists by: -3 13 |