Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144w |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-40904264556288 = -1 · 28 · 310 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1911,309386] |
[a1,a2,a3,a4,a6] |
j |
-35152/1863 |
j-invariant |
L |
2.1354898855714 |
L(r)(E,1)/r! |
Ω |
0.53387247050515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27048o1 1656c1 |
Quadratic twists by: -3 -7 |