Atkin-Lehner |
3- 5+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111825f |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4153487307612890625 = 316 · 58 · 72 · 712 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-463167,71568616] |
[a1,a2,a3,a4,a6] |
j |
964693854889129/364640861025 |
j-invariant |
L |
0.90034422807473 |
L(r)(E,1)/r! |
Ω |
0.22508605297488 |
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 |
37275f2 22365k2 |
Quadratic twists by: -3 5 |