Atkin-Lehner |
2+ 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592g |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3203048448 = 210 · 34 · 232 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1488,-22428] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:6:1] [-22:12:1] |
Generators of the group modulo torsion |
j |
356060978500/3127977 |
j-invariant |
L |
11.612227265508 |
L(r)(E,1)/r! |
Ω |
0.76905022139479 |
Real period |
R |
1.8874299334312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296b2 |
Quadratic twists by: -4 |