Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440bm |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
248961081600 = 28 · 38 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2847,-53314] |
[a1,a2,a3,a4,a6] |
j |
13674725584/1334025 |
j-invariant |
L |
2.6307409445779 |
L(r)(E,1)/r! |
Ω |
0.65768523636041 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720bn2 18480h2 |
Quadratic twists by: -4 -3 |