Atkin-Lehner |
3- 5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205p |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.9684905245606E+21 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1391551245,-19979717835150] |
[a1,a2,a3,a4,a6] |
j |
408783913072437856997776032721/8187229800494704575 |
j-invariant |
L |
3.1639889901273 |
L(r)(E,1)/r! |
Ω |
0.024718650335938 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42735m4 |
Quadratic twists by: -3 |