Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8415q |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11614975205625 = 312 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-15264,710923] |
[a1,a2,a3,a4,a6] |
j |
539532064700929/15932750625 |
j-invariant |
L |
2.8510162242627 |
L(r)(E,1)/r! |
Ω |
0.71275405606568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2805a2 42075bm2 92565by2 |
Quadratic twists by: -3 5 -11 |