Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832f |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1.2942837064043E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2726593,84495553] |
[a1,a2,a3,a4,a6] |
j |
8551551109433208625/4937300515763352 |
j-invariant |
L |
0.77937187452142 |
L(r)(E,1)/r! |
Ω |
0.12989537427809 |
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 |
128832bi4 4026i4 |
Quadratic twists by: -4 8 |