Atkin-Lehner |
2+ 3+ 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104346a |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
94815079267909968 = 24 · 39 · 112 · 174 · 313 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ 4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-68640252,-218868050368] |
[a1,a2,a3,a4,a6] |
Generators |
[6138231812878377103:-1109736958588554480462:177059360293577] |
Generators of the group modulo torsion |
j |
1817059008091635927745875/4817105078896 |
j-invariant |
L |
6.2146750912993 |
L(r)(E,1)/r! |
Ω |
0.05245112856525 |
Real period |
R |
29.621264886456 |
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 |
104346bj2 |
Quadratic twists by: -3 |