Atkin-Lehner |
3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8415o |
Isogeny class |
Conductor |
8415 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
143394755625 = 38 · 54 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 3- 5- 4 11+ -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14027,-635646] |
[a1,a2,a3,a4,a6] |
j |
418660076257129/196700625 |
j-invariant |
L |
1.7548217639744 |
L(r)(E,1)/r! |
Ω |
0.43870544099361 |
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 |
2805b2 42075x2 92565br2 |
Quadratic twists by: -3 5 -11 |