Atkin-Lehner |
2- 3- 7+ 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
109494bn |
Isogeny class |
Conductor |
109494 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
15925248 |
Modular degree for the optimal curve |
Δ |
-4.1364641385023E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 6 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105439325,416868610533] |
[a1,a2,a3,a4,a6] |
j |
-177829591537356416252799625/56741620555586469888 |
j-invariant |
L |
4.037742315849 |
L(r)(E,1)/r! |
Ω |
0.11215952329088 |
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 |
36498a1 |
Quadratic twists by: -3 |