Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048x |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-666351435776 = -1 · 218 · 134 · 89 |
Discriminant |
Eigenvalues |
2- 1 -3 4 2 13- -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,383,-39041] |
[a1,a2,a3,a4,a6] |
Generators |
[81:728:1] |
Generators of the group modulo torsion |
j |
23639903/2541929 |
j-invariant |
L |
6.9992093586412 |
L(r)(E,1)/r! |
Ω |
0.43073735147068 |
Real period |
R |
2.0311708907188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999744 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048g1 18512e1 |
Quadratic twists by: -4 8 |