Atkin-Lehner |
2+ 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168b |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-52705953792 = -1 · 211 · 32 · 192 · 892 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1648,28576] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:228:1] [10:114:1] |
Generators of the group modulo torsion |
j |
-241840417250/25735329 |
j-invariant |
L |
9.7444600057405 |
L(r)(E,1)/r! |
Ω |
1.0932068737844 |
Real period |
R |
1.1142058561141 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40584bc2 |
Quadratic twists by: -4 |