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 |
-277862400000000 = -1 · 217 · 34 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3935,-797663] |
[a1,a2,a3,a4,a6] |
Generators |
[169:2160:1] |
Generators of the group modulo torsion |
j |
51396982702/2119921875 |
j-invariant |
L |
4.3948004079702 |
L(r)(E,1)/r! |
Ω |
0.26379376737198 |
Real period |
R |
1.0412491099079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000831 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cq3 8040f4 |
Quadratic twists by: -4 8 |