Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
119952o |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
17777349065419776 = 210 · 311 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ -4 3 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-81291,-6199382] |
[a1,a2,a3,a4,a6] |
j |
13805092/4131 |
j-invariant |
L |
3.4713276524874 |
L(r)(E,1)/r! |
Ω |
0.28927736297525 |
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 |
59976bc1 39984k1 119952bt1 |
Quadratic twists by: -4 -3 -7 |