Atkin-Lehner |
2- 3- 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
32538w |
Isogeny class |
Conductor |
32538 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
458590572 = 22 · 36 · 11 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3- 0 0 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3973,-96715] |
[a1,a2,a3,a4,a6] |
Generators |
[74:89:1] |
Generators of the group modulo torsion |
j |
6935635154652625/458590572 |
j-invariant |
L |
10.439502798457 |
L(r)(E,1)/r! |
Ω |
0.60134134844382 |
Real period |
R |
2.893393473738 |
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 |
97614m2 |
Quadratic twists by: -3 |