Atkin-Lehner |
2+ 3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64320b |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-13238599680 = -1 · 216 · 32 · 5 · 672 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,-5535] |
[a1,a2,a3,a4,a6] |
Generators |
[31:168:1] |
Generators of the group modulo torsion |
j |
6740636/202005 |
j-invariant |
L |
3.7330363149916 |
L(r)(E,1)/r! |
Ω |
0.60763684396907 |
Real period |
R |
3.0717659341233 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993218 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cl2 8040g2 |
Quadratic twists by: -4 8 |