Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
129888j |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
10337209198576128 = 29 · 310 · 112 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-945939,354079978] |
[a1,a2,a3,a4,a6] |
Generators |
[33065920098:-18532789660:57960603] |
Generators of the group modulo torsion |
j |
250793119090954376/27695283561 |
j-invariant |
L |
9.3091553457106 |
L(r)(E,1)/r! |
Ω |
0.39028927292717 |
Real period |
R |
11.92596884069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999249564 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129888e4 43296bb4 |
Quadratic twists by: -4 -3 |