Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
129285r |
Isogeny class |
Conductor |
129285 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.0395315505914E+29 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2625525135,-41787132510200] |
[a1,a2,a3,a4,a6] |
j |
568832774079017834683129/114800389711906640625 |
j-invariant |
L |
0.34222855022531 |
L(r)(E,1)/r! |
Ω |
0.021389208323272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43095h2 9945j2 |
Quadratic twists by: -3 13 |