Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bp |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
232252033204224 = 220 · 310 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45889,-3696671] |
[a1,a2,a3,a4,a6] |
Generators |
[-121:264:1] |
Generators of the group modulo torsion |
j |
40767965189713/885971196 |
j-invariant |
L |
2.5634111682153 |
L(r)(E,1)/r! |
Ω |
0.32662231991624 |
Real period |
R |
3.9241212422999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002458 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472bc2 16368z2 |
Quadratic twists by: -4 8 |