Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cx |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
Δ |
6.1386509438443E+24 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497505128,-4269648427980] |
[a1,a2,a3,a4,a6] |
Generators |
[-28491866:80621568:2197] |
Generators of the group modulo torsion |
j |
3324730517043538694039691625/1498694078086994460672 |
j-invariant |
L |
8.1717533522883 |
L(r)(E,1)/r! |
Ω |
0.031967738473908 |
Real period |
R |
2.9048296182864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006b2 |
Quadratic twists by: -4 |