Atkin-Lehner |
2+ 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960z |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3538944 |
Modular degree for the optimal curve |
Δ |
1.7938604194582E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2034055,912554812] |
[a1,a2,a3,a4,a6] |
j |
494428821070157824/95297262378885 |
j-invariant |
L |
0.68419352283901 |
L(r)(E,1)/r! |
Ω |
0.17104831993559 |
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 |
14280p1 |
Quadratic twists by: -7 |