Atkin-Lehner |
3- 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955k |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
170 |
Product of Tamagawa factors cp |
deg |
49732480 |
Modular degree for the optimal curve |
Δ |
1.0653751858759E+28 |
Discriminant |
Eigenvalues |
-1 3- 5- 3 3 7 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9334383662,-347079701506814] |
[a1,a2,a3,a4,a6] |
j |
123382374966976645674907103252889/14614200080602264404296875 |
j-invariant |
L |
2.6111399587615 |
L(r)(E,1)/r! |
Ω |
0.015359646816176 |
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 |
3995a1 |
Quadratic twists by: -3 |