Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
80724q |
Isogeny class |
Conductor |
80724 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
4017600 |
Modular degree for the optimal curve |
Δ |
-6.9356236721285E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8738693,-10026330969] |
[a1,a2,a3,a4,a6] |
j |
-338010112000/3176523 |
j-invariant |
L |
3.1593445022543 |
L(r)(E,1)/r! |
Ω |
0.043879785464233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
80724h1 |
Quadratic twists by: -31 |