Atkin-Lehner |
2- 3+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
5478k |
Isogeny class |
Conductor |
5478 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-310004098831152 = -1 · 24 · 32 · 1110 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 -4 11+ 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2983,-850675] |
[a1,a2,a3,a4,a6] |
Generators |
[105:34:1] |
Generators of the group modulo torsion |
j |
-2935570883856625/310004098831152 |
j-invariant |
L |
4.4748348432986 |
L(r)(E,1)/r! |
Ω |
0.24113943797746 |
Real period |
R |
4.6392606709534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43824bj2 16434i2 60258f2 |
Quadratic twists by: -4 -3 -11 |