Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360cb |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.5469997002457E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23324016,43348202820] |
[a1,a2,a3,a4,a6] |
j |
11647843478225136004/128410942275 |
j-invariant |
L |
3.2054495363184 |
L(r)(E,1)/r! |
Ω |
0.20034066558382 |
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 |
64680bh4 18480m3 |
Quadratic twists by: -4 -7 |