Atkin-Lehner |
2- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9386j |
Isogeny class |
Conductor |
9386 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
766080 |
Modular degree for the optimal curve |
Δ |
-132627225288751232 = -1 · 27 · 132 · 1910 |
Discriminant |
Eigenvalues |
2- 1 4 2 3 13- -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37274521,-87595466567] |
[a1,a2,a3,a4,a6] |
j |
-934165699635529/21632 |
j-invariant |
L |
6.8432839220543 |
L(r)(E,1)/r! |
Ω |
0.030550374652028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75088bc1 84474be1 122018i1 9386a1 |
Quadratic twists by: -4 -3 13 -19 |