Atkin-Lehner |
2+ 3- 5+ 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290p |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-1079219658424320 = -1 · 221 · 311 · 5 · 7 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19305,-1201635] |
[a1,a2,a3,a4,a6] |
j |
1091422612360079/1480411054080 |
j-invariant |
L |
1.0452635817454 |
L(r)(E,1)/r! |
Ω |
0.26131589545234 |
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 |
17430bo1 |
Quadratic twists by: -3 |