Atkin-Lehner |
2+ 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872f |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-87635474780258304 = -1 · 243 · 35 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -2 -2 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11201,-14246463] |
[a1,a2,a3,a4,a6] |
j |
-592915705201/334302806016 |
j-invariant |
L |
0.30588250927134 |
L(r)(E,1)/r! |
Ω |
0.15294125463567 |
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 |
7872bf1 246b1 23616f1 |
Quadratic twists by: -4 8 -3 |