Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064q |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3124655822159872 = -1 · 214 · 72 · 116 · 133 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34447,-1096687] |
[a1,a2,a3,a4,a6] |
Generators |
[157:2856:1] |
Generators of the group modulo torsion |
j |
275895984926000/190713856333 |
j-invariant |
L |
10.035211801193 |
L(r)(E,1)/r! |
Ω |
0.25398680392923 |
Real period |
R |
3.2925633818115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064x4 4004b4 |
Quadratic twists by: -4 8 |