Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
11408i |
Isogeny class |
Conductor |
11408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4164558848 = 213 · 232 · 312 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -4 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-408,532] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:62:1] |
Generators of the group modulo torsion |
j |
1838265625/1016738 |
j-invariant |
L |
2.062895055224 |
L(r)(E,1)/r! |
Ω |
1.2031542743244 |
Real period |
R |
0.85728617653057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1426a2 45632u2 102672bf2 |
Quadratic twists by: -4 8 -3 |