Atkin-Lehner |
2- 3+ 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
45120cj |
Isogeny class |
Conductor |
45120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-38375372881920 = -1 · 219 · 3 · 5 · 474 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7295,-179423] |
[a1,a2,a3,a4,a6] |
j |
163757102111/146390430 |
j-invariant |
L |
1.4235774780121 |
L(r)(E,1)/r! |
Ω |
0.35589436955536 |
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 |
45120bi3 11280w4 |
Quadratic twists by: -4 8 |