Atkin-Lehner |
3- 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108225k |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2254868255478515625 = -1 · 36 · 510 · 132 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,42370,-72179378] |
[a1,a2,a3,a4,a6] |
j |
738518126319/197958255625 |
j-invariant |
L |
0.97589704320012 |
L(r)(E,1)/r! |
Ω |
0.1219871565807 |
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 |
12025b4 21645j3 |
Quadratic twists by: -3 5 |