Atkin-Lehner |
2- 3- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
112176p |
Isogeny class |
Conductor |
112176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2709504 |
Modular degree for the optimal curve |
Δ |
-5.1409061017804E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -1 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1115859,1181466002] |
[a1,a2,a3,a4,a6] |
Generators |
[2312912018:344846918304:103823] |
Generators of the group modulo torsion |
j |
-51459338321140177/172167905179008 |
j-invariant |
L |
9.6321305080933 |
L(r)(E,1)/r! |
Ω |
0.14473897585491 |
Real period |
R |
16.63707105731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14022e1 37392j1 |
Quadratic twists by: -4 -3 |