Atkin-Lehner |
2+ 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53040y |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-178792323840 = -1 · 28 · 37 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1295,10043] |
[a1,a2,a3,a4,a6] |
j |
937470577664/698407515 |
j-invariant |
L |
4.5307952589642 |
L(r)(E,1)/r! |
Ω |
0.64725646555057 |
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 |
26520q1 |
Quadratic twists by: -4 |