Atkin-Lehner |
2+ 3- 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
116688f |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-9.3051281056344E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117641752,675681409028] |
[a1,a2,a3,a4,a6] |
j |
-175836167856967771687798372/90870391656586224332793 |
j-invariant |
L |
4.0337182095794 |
L(r)(E,1)/r! |
Ω |
0.056023856992475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
58344b3 |
Quadratic twists by: -4 |