Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bn |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4397821897500 = 22 · 310 · 54 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4644,-67100] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:182:1] [-49:227:1] |
Generators of the group modulo torsion |
j |
510082399/202500 |
j-invariant |
L |
7.5255073046021 |
L(r)(E,1)/r! |
Ω |
0.59843202572997 |
Real period |
R |
0.78596095513315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000269 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28830ba2 86490bm2 |
Quadratic twists by: -3 -31 |