Atkin-Lehner |
2+ 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
43424b |
Isogeny class |
Conductor |
43424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
127840256 = 212 · 232 · 59 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 0 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,-1760] |
[a1,a2,a3,a4,a6] |
j |
618470208/31211 |
j-invariant |
L |
1.1666191794069 |
L(r)(E,1)/r! |
Ω |
1.1666191794187 |
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 |
43424f2 86848a1 |
Quadratic twists by: -4 8 |