Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83776s |
Isogeny class |
Conductor |
83776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7853666086289408 = 217 · 72 · 114 · 174 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11+ 0 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2496033,-1518657953] |
[a1,a2,a3,a4,a6] |
j |
13120939360620031250/59918717089 |
j-invariant |
L |
0.48044876006153 |
L(r)(E,1)/r! |
Ω |
0.12011218805022 |
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 |
83776o2 20944c2 |
Quadratic twists by: -4 8 |