Atkin-Lehner |
3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
83205c |
Isogeny class |
Conductor |
83205 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1150294230320102415 = 39 · 5 · 438 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1376003,-618774524] |
[a1,a2,a3,a4,a6] |
j |
2315685267/9245 |
j-invariant |
L |
1.1154214609067 |
L(r)(E,1)/r! |
Ω |
0.13942768901664 |
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 |
83205g2 1935d2 |
Quadratic twists by: -3 -43 |