Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208g |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-8634824940580765696 = -1 · 224 · 74 · 118 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 11- 1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-388652,169367088] |
[a1,a2,a3,a4,a6] |
j |
-115538049/153664 |
j-invariant |
L |
1.6745752069536 |
L(r)(E,1)/r! |
Ω |
0.20932190065131 |
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 |
54208cp1 1694e1 54208bc1 |
Quadratic twists by: -4 8 -11 |