Atkin-Lehner |
2- 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350x |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
105062400 |
Modular degree for the optimal curve |
Δ |
1.2668607374813E+27 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ -2 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6965427938,223746356839492] |
[a1,a2,a3,a4,a6] |
j |
2391922459095853674067216677721/81079087198801362944000 |
j-invariant |
L |
1.8095470117968 |
L(r)(E,1)/r! |
Ω |
0.045238674153358 |
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 |
15470i1 |
Quadratic twists by: 5 |