Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17424m |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
427728240248398848 = 210 · 311 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11+ 6 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1002243,384911890] |
[a1,a2,a3,a4,a6] |
j |
63253004/243 |
j-invariant |
L |
4.7912539774452 |
L(r)(E,1)/r! |
Ω |
0.29945337359033 |
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 |
8712u1 69696fi1 5808j1 17424n1 |
Quadratic twists by: -4 8 -3 -11 |