Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53312bk |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-51381071773696 = -1 · 219 · 78 · 17 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 0 -2 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14177,-740321] |
[a1,a2,a3,a4,a6] |
j |
-208537/34 |
j-invariant |
L |
0.86728797510408 |
L(r)(E,1)/r! |
Ω |
0.21682199345773 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312e1 13328j1 53312cd1 |
Quadratic twists by: -4 8 -7 |