Atkin-Lehner |
2- 3+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
116688p |
Isogeny class |
Conductor |
116688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-1.2764621428933E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2973308,2047856460] |
[a1,a2,a3,a4,a6] |
j |
-11355430171368393250000/498618024567704613 |
j-invariant |
L |
0.5511092173665 |
L(r)(E,1)/r! |
Ω |
0.18370317569943 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29172f2 |
Quadratic twists by: -4 |