Atkin-Lehner |
2- 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
85200dd |
Isogeny class |
Conductor |
85200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
261325440000000 = 213 · 34 · 57 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16008,47988] |
[a1,a2,a3,a4,a6] |
j |
7088952961/4083210 |
j-invariant |
L |
3.7646378478264 |
L(r)(E,1)/r! |
Ω |
0.47057973292554 |
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 |
10650a2 17040o2 |
Quadratic twists by: -4 5 |