Atkin-Lehner |
2- 3- 5- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128340o |
Isogeny class |
Conductor |
128340 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5483520 |
Modular degree for the optimal curve |
Δ |
-1.0521079040128E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -6 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5779407,-5570827594] |
[a1,a2,a3,a4,a6] |
j |
-114394740476317115344/5637580932853125 |
j-invariant |
L |
1.4563803768092 |
L(r)(E,1)/r! |
Ω |
0.048545932744883 |
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 |
42780b1 |
Quadratic twists by: -3 |