Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
1386d |
Isogeny class |
Conductor |
1386 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
18493062542262 = 2 · 310 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-127197,17491383] |
[a1,a2,a3,a4,a6] |
j |
312196988566716625/25367712678 |
j-invariant |
L |
1.3137168390085 |
L(r)(E,1)/r! |
Ω |
0.65685841950427 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
11088bf4 44352bt4 462g4 34650cx4 |
Quadratic twists by: -4 8 -3 5 |