Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810w |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-586661200788100 = -1 · 22 · 52 · 178 · 292 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8676,-1209751] |
[a1,a2,a3,a4,a6] |
j |
-2992209121/24304900 |
j-invariant |
L |
6.967576164737 |
L(r)(E,1)/r! |
Ω |
0.21773675783733 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4930h2 |
Quadratic twists by: 17 |