Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298cb |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-715205661426485856 = -1 · 25 · 313 · 112 · 415 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- 2 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-862907,311414667] |
[a1,a2,a3,a4,a6] |
j |
-805568207050793329/8108080370784 |
j-invariant |
L |
5.7374630894006 |
L(r)(E,1)/r! |
Ω |
0.28687316084256 |
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 |
29766j1 89298bc1 |
Quadratic twists by: -3 -11 |