Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bm |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
28721433600000000 = 216 · 310 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82092,-3933776] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:1620:1] |
Generators of the group modulo torsion |
j |
1280615525284/601171875 |
j-invariant |
L |
7.1683527061161 |
L(r)(E,1)/r! |
Ω |
0.29521222549196 |
Real period |
R |
1.5176269999736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720et3 6840r4 18240y3 |
Quadratic twists by: -4 8 -3 |