Atkin-Lehner |
2- 3+ 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180f |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-43173747649200 = -1 · 24 · 3 · 52 · 78 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-63201,6144810] |
[a1,a2,a3,a4,a6] |
Generators |
[53:1715:1] |
Generators of the group modulo torsion |
j |
-1744947845893341184/2698359228075 |
j-invariant |
L |
3.1764301455057 |
L(r)(E,1)/r! |
Ω |
0.6411771333473 |
Real period |
R |
0.20641917682214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540w1 |
Quadratic twists by: -3 |