Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
106800bx |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-180697654080000000 = -1 · 212 · 32 · 57 · 894 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 6 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,29992,20363988] |
[a1,a2,a3,a4,a6] |
j |
46617130799/2823400845 |
j-invariant |
L |
3.9028513283887 |
L(r)(E,1)/r! |
Ω |
0.24392823506222 |
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 |
6675e4 21360j3 |
Quadratic twists by: -4 5 |