Atkin-Lehner |
2- 3- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632ba |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4700160 |
Modular degree for the optimal curve |
Δ |
-3.3474807616901E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -2 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8161968,-9018188624] |
[a1,a2,a3,a4,a6] |
j |
-20138211563024060416/112106453406651 |
j-invariant |
L |
0.35716202961012 |
L(r)(E,1)/r! |
Ω |
0.044645355588164 |
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 |
7227d1 38544n1 |
Quadratic twists by: -4 -3 |