Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
27600cp |
Isogeny class |
Conductor |
27600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1725000000000000 = 212 · 3 · 514 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152408,-22864812] |
[a1,a2,a3,a4,a6] |
Generators |
[18444:374374:27] |
Generators of the group modulo torsion |
j |
6117442271569/26953125 |
j-invariant |
L |
8.0396939926806 |
L(r)(E,1)/r! |
Ω |
0.24169212852911 |
Real period |
R |
8.3160486458626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1725d4 110400ga3 82800er3 5520p3 |
Quadratic twists by: -4 8 -3 5 |