Atkin-Lehner |
2+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200co |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-104717713408000 = -1 · 218 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3647,483777] |
[a1,a2,a3,a4,a6] |
j |
163667323/3195731 |
j-invariant |
L |
1.7801694721275 |
L(r)(E,1)/r! |
Ω |
0.44504218342851 |
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 |
123200hw1 1925i1 123200dh1 |
Quadratic twists by: -4 8 5 |