Atkin-Lehner |
2+ 3- 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22134r |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
133313037732 = 22 · 312 · 7 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 2 -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1793,-23488] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:88:1] |
Generators of the group modulo torsion |
j |
636966141766921/133313037732 |
j-invariant |
L |
2.9899404054062 |
L(r)(E,1)/r! |
Ω |
0.74456029738061 |
Real period |
R |
0.33464274327691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402t1 |
Quadratic twists by: -3 |