Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bl |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9.3391562553665E+18 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1866492,-969795828] |
[a1,a2,a3,a4,a6] |
Generators |
[11942044017949327:608031969188741578:3665798805059] |
Generators of the group modulo torsion |
j |
581972233018192/7558011747 |
j-invariant |
L |
6.4702377538152 |
L(r)(E,1)/r! |
Ω |
0.12926597525939 |
Real period |
R |
25.026840002804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988515 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22308d2 6864m2 |
Quadratic twists by: -4 13 |