Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424u |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18411167366064 = -1 · 24 · 310 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- -6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,726,-206305] |
[a1,a2,a3,a4,a6] |
Generators |
[8503:784080:1] |
Generators of the group modulo torsion |
j |
2048/891 |
j-invariant |
L |
6.3966614612754 |
L(r)(E,1)/r! |
Ω |
0.32264730552943 |
Real period |
R |
4.9563884089929 |
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 |
8712j1 69696gq1 5808f1 1584c1 |
Quadratic twists by: -4 8 -3 -11 |