Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
28480z |
Isogeny class |
Conductor |
28480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-2333081600000 = -1 · 223 · 55 · 89 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 -3 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,639,-73439] |
[a1,a2,a3,a4,a6] |
j |
109902239/8900000 |
j-invariant |
L |
1.5571972128565 |
L(r)(E,1)/r! |
Ω |
0.38929930321427 |
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 |
28480c1 7120n1 |
Quadratic twists by: -4 8 |