Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bv |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
108573065625600000 = 217 · 310 · 55 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-555041,158554305] |
[a1,a2,a3,a4,a6] |
Generators |
[3805:230480:1] |
Generators of the group modulo torsion |
j |
144274561547032082/828346753125 |
j-invariant |
L |
5.6825176453894 |
L(r)(E,1)/r! |
Ω |
0.33594035904328 |
Real period |
R |
4.2288143508518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320y2 16080i2 |
Quadratic twists by: -4 8 |