Atkin-Lehner |
2- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9112b |
Isogeny class |
Conductor |
9112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
-89534512 = -1 · 24 · 174 · 67 |
Discriminant |
Eigenvalues |
2- 0 2 4 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74,517] |
[a1,a2,a3,a4,a6] |
Generators |
[-2198:9255:343] |
Generators of the group modulo torsion |
j |
-2800908288/5595907 |
j-invariant |
L |
5.3202854588949 |
L(r)(E,1)/r! |
Ω |
1.7003185130717 |
Real period |
R |
6.2579868630419 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18224b1 72896g1 82008g1 |
Quadratic twists by: -4 8 -3 |