Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544eb |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.5799753130782E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1584564,-2320074160] |
[a1,a2,a3,a4,a6] |
j |
18419405270942584/108003564029403 |
j-invariant |
L |
1.1559715396199 |
L(r)(E,1)/r! |
Ω |
0.072248222071353 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ex3 34272m2 22848bt3 |
Quadratic twists by: -4 8 -3 |