Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1386b |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1997879077166742 = 2 · 38 · 712 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31563,-175689] |
[a1,a2,a3,a4,a6] |
j |
4770223741048753/2740574865798 |
j-invariant |
L |
0.77842268575899 |
L(r)(E,1)/r! |
Ω |
0.38921134287949 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11088ca3 44352bk3 462f3 34650di3 |
Quadratic twists by: -4 8 -3 5 |