Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144j |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-412003279415033856 = -1 · 214 · 34 · 112 · 376 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,141551,-23145551] |
[a1,a2,a3,a4,a6] |
j |
19144301716363952/25146684534609 |
j-invariant |
L |
1.9145447960932 |
L(r)(E,1)/r! |
Ω |
0.15954539982413 |
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 |
78144df2 4884d2 |
Quadratic twists by: -4 8 |