Atkin-Lehner |
3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8415q |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1437781640625 = 39 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-242469,46015600] |
[a1,a2,a3,a4,a6] |
j |
2162548495235945809/1972265625 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
2805a3 42075bm4 92565by4 |
Quadratic twists by: -3 5 -11 |