Atkin-Lehner |
2- 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
6188c |
Isogeny class |
Conductor |
6188 |
Conductor |
∏ cp |
55 |
Product of Tamagawa factors cp |
deg |
695640 |
Modular degree for the optimal curve |
Δ |
-2.8499648582677E+20 |
Discriminant |
Eigenvalues |
2- 3 -4 7+ 1 13- 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6441412,-6344653915] |
[a1,a2,a3,a4,a6] |
j |
-1847340550827988392001536/17812280364173348963 |
j-invariant |
L |
2.6045772773672 |
L(r)(E,1)/r! |
Ω |
0.047355950497585 |
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 |
24752bf1 99008k1 55692u1 43316g1 |
Quadratic twists by: -4 8 -3 -7 |