Atkin-Lehner |
3- 5+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21645j |
Isogeny class |
Conductor |
21645 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
712597664025 = 36 · 52 · 134 · 372 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5910,-168625] |
[a1,a2,a3,a4,a6] |
j |
31318428433761/977500225 |
j-invariant |
L |
2.1821725959709 |
L(r)(E,1)/r! |
Ω |
0.54554314899273 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2405d2 108225k2 |
Quadratic twists by: -3 5 |