Atkin-Lehner |
2+ 3+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128832h |
Isogeny class |
Conductor |
128832 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
176732141617152 = 215 · 32 · 115 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -4 4 11- -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6871265,-6930422079] |
[a1,a2,a3,a4,a6] |
j |
1094923897084507022792/5393436939 |
j-invariant |
L |
0.93248113095899 |
L(r)(E,1)/r! |
Ω |
0.093248182349307 |
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 |
128832p2 64416f2 |
Quadratic twists by: -4 8 |