Atkin-Lehner |
2- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
41888f |
Isogeny class |
Conductor |
41888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
13269196864 = 26 · 72 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 11+ -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4801,127920] |
[a1,a2,a3,a4,a6] |
Generators |
[32:84:1] |
Generators of the group modulo torsion |
j |
191222440244928/207331201 |
j-invariant |
L |
2.8899531379664 |
L(r)(E,1)/r! |
Ω |
1.2537371164747 |
Real period |
R |
2.3050710551618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41888h1 83776w2 |
Quadratic twists by: -4 8 |