Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696cp |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1110615175280590848 = -1 · 217 · 314 · 116 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,68244,-50237264] |
[a1,a2,a3,a4,a6] |
Generators |
[1958:87120:1] |
Generators of the group modulo torsion |
j |
207646/6561 |
j-invariant |
L |
4.864414527171 |
L(r)(E,1)/r! |
Ω |
0.1327243631855 |
Real period |
R |
2.2906563702497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696gl5 8712y6 23232bw5 576d6 |
Quadratic twists by: -4 8 -3 -11 |