Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432r |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
92219756249088 = 220 · 34 · 13 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21217,-1103233] |
[a1,a2,a3,a4,a6] |
Generators |
[169:408:1] |
Generators of the group modulo torsion |
j |
4029546653497/351790452 |
j-invariant |
L |
8.627476630282 |
L(r)(E,1)/r! |
Ω |
0.39777645833302 |
Real period |
R |
2.7111573754377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bk3 1326b3 127296g3 |
Quadratic twists by: -4 8 -3 |