Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415o |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-212631929296875 = -1 · 37 · 58 · 114 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11732,-852294] |
[a1,a2,a3,a4,a6] |
j |
-244950111766009/291676171875 |
j-invariant |
L |
1.7548217639744 |
L(r)(E,1)/r! |
Ω |
0.2193527204968 |
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 |
2805b4 42075x3 92565br3 |
Quadratic twists by: -3 5 -11 |