Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
64944q |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
27270245376 = 210 · 310 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86619,-9812230] |
[a1,a2,a3,a4,a6] |
Generators |
[27429253280:-254477081565:71991296] |
Generators of the group modulo torsion |
j |
96279920698468/36531 |
j-invariant |
L |
9.0030719264791 |
L(r)(E,1)/r! |
Ω |
0.2782891492812 |
Real period |
R |
16.175750922252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32472v4 21648f4 |
Quadratic twists by: -4 -3 |