Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950v |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
1.3583493571208E+20 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1361338,-243687708] |
[a1,a2,a3,a4,a6] |
Generators |
[1628:42262:1] |
Generators of the group modulo torsion |
j |
17856716696216635609/8693435885573120 |
j-invariant |
L |
4.7116444512696 |
L(r)(E,1)/r! |
Ω |
0.14679727012405 |
Real period |
R |
0.40120334384131 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790b2 |
Quadratic twists by: 5 |