Atkin-Lehner |
2- 3+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63162bk |
Isogeny class |
Conductor |
63162 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-236322949382784 = -1 · 27 · 33 · 119 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 -1 11- 7 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58103,5455695] |
[a1,a2,a3,a4,a6] |
Generators |
[69:1296:1] |
Generators of the group modulo torsion |
j |
-453515880987/4940672 |
j-invariant |
L |
9.2758847529802 |
L(r)(E,1)/r! |
Ω |
0.55929062507323 |
Real period |
R |
0.29616230228108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63162i1 5742a1 |
Quadratic twists by: -3 -11 |