Atkin-Lehner |
2- 3+ 7- 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718f |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
503757734924304 = 24 · 32 · 78 · 192 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-116984,15313961] |
[a1,a2,a3,a4,a6] |
j |
177053022518785854337/503757734924304 |
j-invariant |
L |
2.0986328648288 |
L(r)(E,1)/r! |
Ω |
0.52465821620687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
98154y2 |
Quadratic twists by: -3 |