Atkin-Lehner |
2+ 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69520j |
Isogeny class |
Conductor |
69520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7402489600 = -1 · 28 · 52 · 114 · 79 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 11+ -6 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,220,3872] |
[a1,a2,a3,a4,a6] |
j |
4579058864/28915975 |
j-invariant |
L |
1.9159940711351 |
L(r)(E,1)/r! |
Ω |
0.95799703388581 |
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 |
34760q2 |
Quadratic twists by: -4 |