Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200bu |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
342792000000 = 29 · 34 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -6 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21408,-1198188] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:18:1] |
Generators of the group modulo torsion |
j |
135638288072/42849 |
j-invariant |
L |
2.1904052962813 |
L(r)(E,1)/r! |
Ω |
0.39469540785093 |
Real period |
R |
1.3874023188044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999358 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200ch2 110400iu2 2208f2 |
Quadratic twists by: -4 8 5 |