Atkin-Lehner |
3- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975cj |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.0006302388288E+23 |
Discriminant |
Eigenvalues |
1 3- 5- -2 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23732701,-38953508827] |
[a1,a2,a3,a4,a6] |
j |
320997007423/43441281 |
j-invariant |
L |
3.3126724864169 |
L(r)(E,1)/r! |
Ω |
0.069014026407338 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117975w2 117975ch2 |
Quadratic twists by: 5 -11 |