Atkin-Lehner |
2- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
11390h |
Isogeny class |
Conductor |
11390 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
677209670256250000 = 24 · 58 · 176 · 672 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447033,-107902519] |
[a1,a2,a3,a4,a6] |
j |
9879649859497246551009/677209670256250000 |
j-invariant |
L |
4.4503596136975 |
L(r)(E,1)/r! |
Ω |
0.18543165057073 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
91120l2 102510i2 56950a2 |
Quadratic twists by: -4 -3 5 |