Atkin-Lehner |
2- 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502cf |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
-8472839337767737944 = -1 · 23 · 37 · 119 · 593 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,117589,-139213357] |
[a1,a2,a3,a4,a6] |
Generators |
[597:11680:1] |
Generators of the group modulo torsion |
j |
139233463487/6560626776 |
j-invariant |
L |
13.730224304125 |
L(r)(E,1)/r! |
Ω |
0.11135908950254 |
Real period |
R |
0.8562280750273 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109933 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42834s2 11682l2 |
Quadratic twists by: -3 -11 |