Atkin-Lehner |
2- 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872bf |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
10 |
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 |
2.7545982576125 |
L(r)(E,1)/r! |
Ω |
0.27545982576125 |
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 |
7872f1 1968h1 23616bl1 |
Quadratic twists by: -4 8 -3 |