Atkin-Lehner |
3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72111b |
Isogeny class |
Conductor |
72111 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
33488324706993507 = 36 · 132 · 437 |
Discriminant |
Eigenvalues |
1 3+ -2 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-410516,100683489] |
[a1,a2,a3,a4,a6] |
Generators |
[-176:13031:1] [344:395:1] |
Generators of the group modulo torsion |
j |
1210333063393/5297643 |
j-invariant |
L |
8.860359798413 |
L(r)(E,1)/r! |
Ω |
0.37040043033708 |
Real period |
R |
5.9802574948232 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1677b2 |
Quadratic twists by: -43 |