Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415n |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
243698440779300375 = 313 · 53 · 114 · 174 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13128557,-18306080386] |
[a1,a2,a3,a4,a6] |
j |
343278919869647291747209/334291413963375 |
j-invariant |
L |
0.95175809687382 |
L(r)(E,1)/r! |
Ω |
0.079313174739485 |
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 |
2805d3 42075w4 92565bq4 |
Quadratic twists by: -3 5 -11 |