Atkin-Lehner |
2- 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
116150ba |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
1641428373575000000 = 26 · 58 · 235 · 1012 |
Discriminant |
Eigenvalues |
2- 2 5- 5 5 -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-453888,100077281] |
[a1,a2,a3,a4,a6] |
j |
26473407211658785/4202056636352 |
j-invariant |
L |
12.236637531409 |
L(r)(E,1)/r! |
Ω |
0.25492995744249 |
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 |
116150h1 |
Quadratic twists by: 5 |