Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13800x |
Isogeny class |
Conductor |
13800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
103500000000000 = 211 · 32 · 512 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -6 4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21408,1094688] |
[a1,a2,a3,a4,a6] |
Generators |
[234:5625:8] |
Generators of the group modulo torsion |
j |
33909572018/3234375 |
j-invariant |
L |
4.7069861089108 |
L(r)(E,1)/r! |
Ω |
0.5803065525391 |
Real period |
R |
4.0556031017707 |
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 |
27600k2 110400t2 41400p2 2760b2 |
Quadratic twists by: -4 8 -3 5 |