Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320cu |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
13404082176000 = 215 · 36 · 53 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7745,-197025] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:180:1] |
Generators of the group modulo torsion |
j |
1568173521032/409060125 |
j-invariant |
L |
10.197862302162 |
L(r)(E,1)/r! |
Ω |
0.51875289410659 |
Real period |
R |
1.0921344480721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997306 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320bz2 32160l2 |
Quadratic twists by: -4 8 |