Atkin-Lehner |
2- 3- 5+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
52440u |
Isogeny class |
Conductor |
52440 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
93760 |
Modular degree for the optimal curve |
Δ |
-218689063680 = -1 · 28 · 3 · 5 · 195 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 5 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-401,-22845] |
[a1,a2,a3,a4,a6] |
j |
-27925402624/854254155 |
j-invariant |
L |
4.3346579559387 |
L(r)(E,1)/r! |
Ω |
0.43346579568524 |
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 |
104880f1 |
Quadratic twists by: -4 |