Atkin-Lehner |
2- 3+ 5- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
87450by |
Isogeny class |
Conductor |
87450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13165630510626000 = 24 · 33 · 53 · 11 · 536 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-142228,-19953019] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:357:1] |
Generators of the group modulo torsion |
j |
2545477128293358869/105325044085008 |
j-invariant |
L |
8.1605866288629 |
L(r)(E,1)/r! |
Ω |
0.24646818464917 |
Real period |
R |
0.68979378234191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000027892 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87450bg2 |
Quadratic twists by: 5 |