Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
55440k |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
523886721790924800 = 211 · 318 · 52 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-212763,14634538] |
[a1,a2,a3,a4,a6] |
Generators |
[569:8820:1] |
Generators of the group modulo torsion |
j |
713435223679922/350897206275 |
j-invariant |
L |
6.3183280824264 |
L(r)(E,1)/r! |
Ω |
0.26015044635613 |
Real period |
R |
1.5179505193475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999921 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720bi3 18480x3 |
Quadratic twists by: -4 -3 |