Atkin-Lehner |
41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122713a |
Isogeny class |
Conductor |
122713 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-25313305500289 = -1 · 416 · 732 |
Discriminant |
Eigenvalues |
1 0 2 -2 2 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6409,-141598] |
[a1,a2,a3,a4,a6] |
j |
6128487/5329 |
j-invariant |
L |
0.73880143886944 |
L(r)(E,1)/r! |
Ω |
0.36940106841203 |
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 |
73a1 |
Quadratic twists by: 41 |