Atkin-Lehner |
3- 5+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
45045u |
Isogeny class |
Conductor |
45045 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
1.5571868332259E+29 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2222558325,35582100021936] |
[a1,a2,a3,a4,a6] |
j |
1665542364909636154936899013201/213605875613978022956405625 |
j-invariant |
L |
2.0004834534103 |
L(r)(E,1)/r! |
Ω |
0.031257553962438 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015t3 |
Quadratic twists by: -3 |