Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160be |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8980261219860480 = 239 · 33 · 5 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 11- 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3381121,2394103681] |
[a1,a2,a3,a4,a6] |
j |
134766108430924201/283115520 |
j-invariant |
L |
1.4162207757757 |
L(r)(E,1)/r! |
Ω |
0.35405496197806 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160if2 3630z2 116160bd2 |
Quadratic twists by: -4 8 -11 |