Atkin-Lehner |
3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116865bc |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.6628718745008E+24 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-57907719,115532511408] |
[a1,a2,a3,a4,a6] |
j |
250390197566955663841/77686524665150625 |
j-invariant |
L |
4.9977981707692 |
L(r)(E,1)/r! |
Ω |
0.06941386546518 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
38955k4 16695j3 |
Quadratic twists by: -3 -7 |