Atkin-Lehner |
2+ 3- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
84816d |
Isogeny class |
Conductor |
84816 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1104051907584 = 210 · 310 · 19 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -6 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2811,-27110] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:162:1] |
Generators of the group modulo torsion |
j |
3290627812/1478979 |
j-invariant |
L |
3.2558946196856 |
L(r)(E,1)/r! |
Ω |
0.68383293979037 |
Real period |
R |
1.1903106861472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999989551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42408i2 28272c2 |
Quadratic twists by: -4 -3 |