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 |
deg |
80510976 |
Modular degree for the optimal curve |
Δ |
-9.2044824790774E+27 |
Discriminant |
Eigenvalues |
1 3- 5+ -4 -4 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,345177990,-3900567275825] |
[a1,a2,a3,a4,a6] |
j |
1292603583867446566871/2615843353271484375 |
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 |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43095h1 9945j1 |
Quadratic twists by: -3 13 |