Atkin-Lehner |
2+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
105754b |
Isogeny class |
Conductor |
105754 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-163231708479488 = -1 · 227 · 112 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 1 0 4 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,13659,-15600] |
[a1,a2,a3,a4,a6] |
j |
2329382251571375/1349022384128 |
j-invariant |
L |
0.68350761882733 |
L(r)(E,1)/r! |
Ω |
0.34175378501763 |
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 |
105754q1 |
Quadratic twists by: -11 |