Atkin-Lehner |
2+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
53290k |
Isogeny class |
Conductor |
53290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1009152 |
Modular degree for the optimal curve |
Δ |
-5161344588122118400 = -1 · 28 · 52 · 738 |
Discriminant |
Eigenvalues |
2+ 0 5- 2 0 -5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-267449,-121513107] |
[a1,a2,a3,a4,a6] |
j |
-2623401/6400 |
j-invariant |
L |
1.1744386792507 |
L(r)(E,1)/r! |
Ω |
0.097869889959528 |
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 |
53290c1 |
Quadratic twists by: 73 |