Atkin-Lehner |
3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325n |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-4.1457338171331E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-21528126,312158738773] |
[a1,a2,a3,a4,a6] |
Generators |
[135286:17430603:8] |
Generators of the group modulo torsion |
j |
-70619125773202792002001/2653269642965203265025 |
j-invariant |
L |
8.9238736405254 |
L(r)(E,1)/r! |
Ω |
0.053590404234547 |
Real period |
R |
2.601874861726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16665b6 |
Quadratic twists by: 5 |