Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208ba |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
31289225347072 = 215 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55660,5047152] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:2904:1] |
Generators of the group modulo torsion |
j |
328509000/539 |
j-invariant |
L |
5.2151269065835 |
L(r)(E,1)/r! |
Ω |
0.65895047878948 |
Real period |
R |
0.98928657660182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000171 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54208f2 27104s2 4928a2 |
Quadratic twists by: -4 8 -11 |