Atkin-Lehner |
2+ 3+ 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69426d |
Isogeny class |
Conductor |
69426 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
31520749504761216 = 27 · 39 · 72 · 192 · 294 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-912156,-334977328] |
[a1,a2,a3,a4,a6] |
j |
4264224342641122131/1601419981952 |
j-invariant |
L |
2.4717925574008 |
L(r)(E,1)/r! |
Ω |
0.15448703597888 |
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 |
69426bb2 |
Quadratic twists by: -3 |