Atkin-Lehner |
2+ 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50880x |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-26376192000 = -1 · 214 · 35 · 53 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 -4 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21,-7821] |
[a1,a2,a3,a4,a6] |
j |
-65536/1609875 |
j-invariant |
L |
2.7108516539747 |
L(r)(E,1)/r! |
Ω |
0.54217033095301 |
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 |
50880ca1 3180a1 |
Quadratic twists by: -4 8 |