Atkin-Lehner |
2+ 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
116886t |
Isogeny class |
Conductor |
116886 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-51713897292288 = -1 · 29 · 34 · 7 · 114 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1734296,-879233434] |
[a1,a2,a3,a4,a6] |
j |
-39402364010111991625/3532128768 |
j-invariant |
L |
2.3680519309304 |
L(r)(E,1)/r! |
Ω |
0.065779229343451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116886bk2 |
Quadratic twists by: -11 |