Atkin-Lehner |
2+ 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
114954g |
Isogeny class |
Conductor |
114954 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
636160 |
Modular degree for the optimal curve |
Δ |
-244997903063424 = -1 · 27 · 3 · 73 · 172 · 235 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- 2 -1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51776,-4618368] |
[a1,a2,a3,a4,a6] |
j |
-44753621544924319/714279600768 |
j-invariant |
L |
2.5295575921178 |
L(r)(E,1)/r! |
Ω |
0.15809735153289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114954be1 |
Quadratic twists by: -7 |