Atkin-Lehner |
2- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
97682m |
Isogeny class |
Conductor |
97682 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-775473489272408576 = -1 · 29 · 137 · 176 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 6 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22443457,-40933813185] |
[a1,a2,a3,a4,a6] |
j |
-10730978619193/6656 |
j-invariant |
L |
0.62426606797542 |
L(r)(E,1)/r! |
Ω |
0.034681438653396 |
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 |
7514b3 338c3 |
Quadratic twists by: 13 17 |