Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
63840bo |
Isogeny class |
Conductor |
63840 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
22825908727104000 = 29 · 3 · 53 · 7 · 198 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-71440,-1061900] |
[a1,a2,a3,a4,a6] |
Generators |
[1185:39710:1] |
Generators of the group modulo torsion |
j |
78756093867185288/44581852982625 |
j-invariant |
L |
6.3799978179997 |
L(r)(E,1)/r! |
Ω |
0.31495639311836 |
Real period |
R |
1.6880637969057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63840by3 127680fj4 |
Quadratic twists by: -4 8 |