Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424k |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
10235904 = 212 · 3 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13329,-596769] |
[a1,a2,a3,a4,a6] |
j |
63942417278272/2499 |
j-invariant |
L |
1.7772864909159 |
L(r)(E,1)/r! |
Ω |
0.44432162272898 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11424m3 22848q1 34272bi4 79968h4 |
Quadratic twists by: -4 8 -3 -7 |