Atkin-Lehner |
3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117bt |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
595857625667913609 = 36 · 72 · 112 · 1310 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-944066,351339616] |
[a1,a2,a3,a4,a6] |
j |
26444947540257/169338169 |
j-invariant |
L |
1.1660206190873 |
L(r)(E,1)/r! |
Ω |
0.2915050495926 |
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 |
13013i2 9009c2 |
Quadratic twists by: -3 13 |