Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440dr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
42603668784230400 = 212 · 38 · 52 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1908003,-1014368798] |
[a1,a2,a3,a4,a6] |
Generators |
[-793:18:1] |
Generators of the group modulo torsion |
j |
257260669489908001/14267882475 |
j-invariant |
L |
6.5703821422539 |
L(r)(E,1)/r! |
Ω |
0.12845654490031 |
Real period |
R |
3.1967922242537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999771 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3465e5 18480df5 |
Quadratic twists by: -4 -3 |