Atkin-Lehner |
2- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
86152c |
Isogeny class |
Conductor |
86152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
316124941293568 = 211 · 117 · 892 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60379,5646102] |
[a1,a2,a3,a4,a6] |
j |
6709580946/87131 |
j-invariant |
L |
1.0907088079352 |
L(r)(E,1)/r! |
Ω |
0.54535438790334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7832a2 |
Quadratic twists by: -11 |