Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320t |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1654824960000 = 216 · 32 · 54 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6785,-203775] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:45:1] |
Generators of the group modulo torsion |
j |
527178079876/25250625 |
j-invariant |
L |
4.3948004079702 |
L(r)(E,1)/r! |
Ω |
0.52758753474396 |
Real period |
R |
2.0824982198158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000831 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64320cq2 8040f2 |
Quadratic twists by: -4 8 |