Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320q |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-356568443781120 = -1 · 217 · 33 · 5 · 674 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17055,295137] |
[a1,a2,a3,a4,a6] |
Generators |
[-147273:1298044:9261] |
Generators of the group modulo torsion |
j |
4185462859342/2720401335 |
j-invariant |
L |
6.9249957978344 |
L(r)(E,1)/r! |
Ω |
0.33627903174881 |
Real period |
R |
10.29650252287 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320cs3 8040e4 |
Quadratic twists by: -4 8 |