Atkin-Lehner |
2- 3+ 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726k |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
Δ |
-1150958932924416 = -1 · 211 · 3 · 74 · 114 · 732 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11+ 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,23751,-814329] |
[a1,a2,a3,a4,a6] |
Generators |
[51:704:1] [63:936:1] |
Generators of the group modulo torsion |
j |
1481727251154883823/1150958932924416 |
j-invariant |
L |
9.550721192699 |
L(r)(E,1)/r! |
Ω |
0.27190777220784 |
Real period |
R |
1.5965843383301 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101178r2 |
Quadratic twists by: -3 |