Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360gb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
161281734288998400 = 217 · 34 · 52 · 73 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ 6 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1563816,-752981580] |
[a1,a2,a3,a4,a6] |
j |
301041853035359743/114797152800 |
j-invariant |
L |
4.3202912848339 |
L(r)(E,1)/r! |
Ω |
0.13500910477013 |
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 |
16170j2 129360fe2 |
Quadratic twists by: -4 -7 |