Atkin-Lehner |
2- 5+ 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
67150o |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-1.41781240592E+20 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 2 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1199520,268966147] |
[a1,a2,a3,a4,a6] |
j |
12215929172852562039/9073999397888000 |
j-invariant |
L |
12.199265668841 |
L(r)(E,1)/r! |
Ω |
0.11730063142149 |
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 |
13430d1 |
Quadratic twists by: 5 |