Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dr |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.023575375865E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45068268,-110304978608] |
[a1,a2,a3,a4,a6] |
Generators |
[-4514208733842:-42552827027456:1009027027] |
Generators of the group modulo torsion |
j |
52974743974734147769/3152005008998400 |
j-invariant |
L |
4.1318826846193 |
L(r)(E,1)/r! |
Ω |
0.05848496221122 |
Real period |
R |
17.66215847796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720bl2 13680bx2 18240cq2 |
Quadratic twists by: -4 8 -3 |