Atkin-Lehner |
3- 5- 11+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755u |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1.4555840551858E+23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12428990,7246185347] |
[a1,a2,a3,a4,a6] |
j |
212339712858053900701851359/145558405518577302311775 |
j-invariant |
L |
1.5611618364102 |
L(r)(E,1)/r! |
Ω |
0.065048409854989 |
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 |
122265q5 |
Quadratic twists by: -3 |