Atkin-Lehner |
2- 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
72842k |
Isogeny class |
Conductor |
72842 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0566893156928E+28 |
Discriminant |
Eigenvalues |
2- -2 0 7+ 11- 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2262074493,-41114094458447] |
[a1,a2,a3,a4,a6] |
Generators |
[96637410838936:-230618450880620361:16974593] |
Generators of the group modulo torsion |
j |
722583947450879449598139625/5964735708749358567488 |
j-invariant |
L |
6.8545581385709 |
L(r)(E,1)/r! |
Ω |
0.021902266594486 |
Real period |
R |
26.080094310383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968293 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6622f4 |
Quadratic twists by: -11 |