Atkin-Lehner |
2- 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
67518bp |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-2.7937870902151E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 3 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,391291,-236308355] |
[a1,a2,a3,a4,a6] |
j |
5130275528223/21632647168 |
j-invariant |
L |
8.0907902857774 |
L(r)(E,1)/r! |
Ω |
0.10645776706125 |
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 |
7502b1 6138c1 |
Quadratic twists by: -3 -11 |