Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cj |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-54751500000000 = -1 · 28 · 32 · 59 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34533,2484063] |
[a1,a2,a3,a4,a6] |
Generators |
[63:750:1] |
Generators of the group modulo torsion |
j |
-1138621087744/13687875 |
j-invariant |
L |
7.0161518190784 |
L(r)(E,1)/r! |
Ω |
0.63150081223464 |
Real period |
R |
0.6943925964888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6900c2 110400fn2 82800dx2 5520o2 |
Quadratic twists by: -4 8 -3 5 |