Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720b |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
737917953638400 = 223 · 33 · 52 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25548,873072] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1152:1] |
Generators of the group modulo torsion |
j |
260549802603/104256800 |
j-invariant |
L |
6.2175852557846 |
L(r)(E,1)/r! |
Ω |
0.46001168463829 |
Real period |
R |
1.6895182946845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cx2 1710b2 54720i2 |
Quadratic twists by: -4 8 -3 |