Atkin-Lehner |
2+ 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150u |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
13843299937500 = 22 · 310 · 56 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17926,904748] |
[a1,a2,a3,a4,a6] |
Generators |
[52:311:1] [-137:959:1] |
Generators of the group modulo torsion |
j |
40767965189713/885971196 |
j-invariant |
L |
8.0380397090595 |
L(r)(E,1)/r! |
Ω |
0.70491046731776 |
Real period |
R |
0.28507307245863 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2046f2 |
Quadratic twists by: 5 |