Atkin-Lehner |
2+ 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888k |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
16665149952 = 29 · 38 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4035,98458] |
[a1,a2,a3,a4,a6] |
j |
19465109000/44649 |
j-invariant |
L |
2.4759591137537 |
L(r)(E,1)/r! |
Ω |
1.2379797974223 |
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 |
129888h2 43296z2 |
Quadratic twists by: -4 -3 |