Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54150u |
Isogeny class |
Conductor |
54150 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
8201596092750000 = 24 · 314 · 56 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-62176,4071998] |
[a1,a2,a3,a4,a6] |
Generators |
[-263:1631:1] [-98:-2989:1] |
Generators of the group modulo torsion |
j |
248028267187/76527504 |
j-invariant |
L |
7.5971690704303 |
L(r)(E,1)/r! |
Ω |
0.38377919667617 |
Real period |
R |
0.35349423464214 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166f2 54150bs2 |
Quadratic twists by: 5 -19 |