Atkin-Lehner |
2+ 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
2706d |
Isogeny class |
Conductor |
2706 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-127619866649088 = -1 · 29 · 36 · 112 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 11+ 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7671,-602534] |
[a1,a2,a3,a4,a6] |
j |
-49911230110731625/127619866649088 |
j-invariant |
L |
1.4242138108801 |
L(r)(E,1)/r! |
Ω |
0.23736896848002 |
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 |
21648r2 86592k2 8118q2 67650bo2 |
Quadratic twists by: -4 8 -3 5 |