Atkin-Lehner |
5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265d |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4.0277240404297E+26 |
Discriminant |
Eigenvalues |
-1 2 5+ -2 -2 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-402307041,-3252678856216] |
[a1,a2,a3,a4,a6] |
j |
-1515980001744324020449/84792329517000625 |
j-invariant |
L |
0.13440469681452 |
L(r)(E,1)/r! |
Ω |
0.016800480450786 |
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 |
2665c2 |
Quadratic twists by: 41 |