Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
89232bs |
Isogeny class |
Conductor |
89232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4851470364229632 = 214 · 3 · 112 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -4 -4 11- 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-165000,25633776] |
[a1,a2,a3,a4,a6] |
Generators |
[74:3718:1] |
Generators of the group modulo torsion |
j |
25128011089/245388 |
j-invariant |
L |
2.2089404169272 |
L(r)(E,1)/r! |
Ω |
0.43491967717065 |
Real period |
R |
1.2697404448257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977848 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11154r2 6864l2 |
Quadratic twists by: -4 13 |