Atkin-Lehner |
2- 3- 5+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bp |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3486522020473824750 = -1 · 2 · 324 · 53 · 11 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-115268,-91062043] |
[a1,a2,a3,a4,a6] |
Generators |
[53073132:-2601379187:21952] |
Generators of the group modulo torsion |
j |
-232337293049593081/4782609081582750 |
j-invariant |
L |
7.3708090610913 |
L(r)(E,1)/r! |
Ω |
0.10799108035811 |
Real period |
R |
8.5317336357577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999999275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110i2 |
Quadratic twists by: -3 |