Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440cr |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
573606332006400 = 216 · 310 · 52 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22683,633418] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1386:1] |
Generators of the group modulo torsion |
j |
432252699481/192099600 |
j-invariant |
L |
5.1109581383669 |
L(r)(E,1)/r! |
Ω |
0.46495180340561 |
Real period |
R |
1.3740558970097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bb2 18480cz2 |
Quadratic twists by: -4 -3 |