Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674v |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
470 |
Product of Tamagawa factors cp |
deg |
1213036160 |
Modular degree for the optimal curve |
Δ |
-7.7596543732504E+32 |
Discriminant |
Eigenvalues |
2- -2 -2 7- -6 13+ 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-122285443554,-16513743777968060] |
[a1,a2,a3,a4,a6] |
j |
-5011475845784197139418747057751/19229146909346588224651264 |
j-invariant |
L |
1.8968105756341 |
L(r)(E,1)/r! |
Ω |
0.0040357673854607 |
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 |
128674x1 |
Quadratic twists by: -7 |