Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520h |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
328320 |
Modular degree for the optimal curve |
Δ |
-543008557382400000 = -1 · 211 · 319 · 55 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 0 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,190384,15381684] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:1458:1] |
Generators of the group modulo torsion |
j |
372634293269111902/265140897159375 |
j-invariant |
L |
6.5352992660161 |
L(r)(E,1)/r! |
Ω |
0.18539069847882 |
Real period |
R |
0.92767091900057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8760e1 70080bz1 52560i1 87600g1 |
Quadratic twists by: -4 8 -3 5 |