Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11424q |
Isogeny class |
Conductor |
11424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
169725362688 = 29 · 34 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42432,-3350088] |
[a1,a2,a3,a4,a6] |
j |
16502300582616584/331494849 |
j-invariant |
L |
1.3305642206662 |
L(r)(E,1)/r! |
Ω |
0.33264105516655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11424u3 22848cy4 34272q4 79968co4 |
Quadratic twists by: -4 8 -3 -7 |