Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208bh |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-444071936 = -1 · 219 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 1 -2 7- 11- -7 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,31] |
[a1,a2,a3,a4,a6] |
Generators |
[27:160:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
5.2228301785855 |
L(r)(E,1)/r! |
Ω |
0.99359964339735 |
Real period |
R |
1.3141183708167 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208cc1 1694h1 54208k1 |
Quadratic twists by: -4 8 -11 |