Atkin-Lehner |
2- 3+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562w |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
943488 |
Modular degree for the optimal curve |
Δ |
-2959595438772693888 = -1 · 27 · 39 · 537 |
Discriminant |
Eigenvalues |
2- 3+ -2 -3 -1 -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-270191,-98791433] |
[a1,a2,a3,a4,a6] |
j |
-5000211/6784 |
j-invariant |
L |
2.7922242431724 |
L(r)(E,1)/r! |
Ω |
0.099722294375628 |
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 |
50562a1 954a1 |
Quadratic twists by: -3 53 |