Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720a |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7984742400 = 215 · 33 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 6 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46188,-3820688] |
[a1,a2,a3,a4,a6] |
Generators |
[366:5320:1] |
Generators of the group modulo torsion |
j |
12316788514584/9025 |
j-invariant |
L |
6.1434217496807 |
L(r)(E,1)/r! |
Ω |
0.32566214906506 |
Real period |
R |
2.3580502705104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720e2 27360t2 54720h2 |
Quadratic twists by: -4 8 -3 |