Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8415p |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-36244078857421875 = -1 · 38 · 512 · 113 · 17 |
Discriminant |
Eigenvalues |
0 3- 5- -1 11- 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,79548,-3053673] |
[a1,a2,a3,a4,a6] |
j |
76363175346569216/49717529296875 |
j-invariant |
L |
1.6729934762404 |
L(r)(E,1)/r! |
Ω |
0.20912418453005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
2805c2 42075bi2 92565bu2 |
Quadratic twists by: -3 5 -11 |