Atkin-Lehner |
2+ 5+ 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
116150c |
Isogeny class |
Conductor |
116150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3133440 |
Modular degree for the optimal curve |
Δ |
2074382989667532800 = 216 · 52 · 233 · 1014 |
Discriminant |
Eigenvalues |
2+ 0 5+ 5 -3 7 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-698567,213953981] |
[a1,a2,a3,a4,a6] |
j |
1508023991470288280625/82975319586701312 |
j-invariant |
L |
3.0904498692499 |
L(r)(E,1)/r! |
Ω |
0.25753748457251 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150z1 |
Quadratic twists by: 5 |