Atkin-Lehner |
3- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117117n |
Isogeny class |
Conductor |
117117 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-4.0655367259706E+20 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11+ 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,670254,946830654] |
[a1,a2,a3,a4,a6] |
j |
9463555063808/115539436859 |
j-invariant |
L |
1.9893142955344 |
L(r)(E,1)/r! |
Ω |
0.12433222123681 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13013a3 693c3 |
Quadratic twists by: -3 13 |