Atkin-Lehner |
2+ 3+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
32232a |
Isogeny class |
Conductor |
32232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12424529378304 = 210 · 312 · 172 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-487304,-130770276] |
[a1,a2,a3,a4,a6] |
j |
12497541153251901988/12133329471 |
j-invariant |
L |
0.36139280948995 |
L(r)(E,1)/r! |
Ω |
0.18069640474643 |
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 |
64464b4 96696h4 |
Quadratic twists by: -4 -3 |