Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900bc |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
647069500000000 = 28 · 59 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-361375,-83606250] |
[a1,a2,a3,a4,a6] |
j |
88723728/11 |
j-invariant |
L |
3.1155393578285 |
L(r)(E,1)/r! |
Ω |
0.1947212099084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53900bd2 1100d2 |
Quadratic twists by: 5 -7 |