Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50880da |
Isogeny class |
Conductor |
50880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-2761359360 = -1 · 216 · 3 · 5 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -2 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-545,5697] |
[a1,a2,a3,a4,a6] |
j |
-273671716/42135 |
j-invariant |
L |
2.7701296632653 |
L(r)(E,1)/r! |
Ω |
1.3850648321264 |
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 |
50880bu1 12720i1 |
Quadratic twists by: -4 8 |