Atkin-Lehner |
2- 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
99600bp |
Isogeny class |
Conductor |
99600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
490752 |
Modular degree for the optimal curve |
Δ |
-17643841200 = -1 · 24 · 312 · 52 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 5 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-328413,72549612] |
[a1,a2,a3,a4,a6] |
j |
-9793232457951477760/44109603 |
j-invariant |
L |
1.6585095908357 |
L(r)(E,1)/r! |
Ω |
0.82925480837416 |
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 |
24900n1 99600dn1 |
Quadratic twists by: -4 5 |