Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032r |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1165145790235392 = -1 · 28 · 37 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,1728034] |
[a1,a2,a3,a4,a6] |
Generators |
[-105:1372:1] |
Generators of the group modulo torsion |
j |
-9826000/53067 |
j-invariant |
L |
6.0763609069427 |
L(r)(E,1)/r! |
Ω |
0.42201451241265 |
Real period |
R |
1.799808042338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344bc2 9576i2 |
Quadratic twists by: -3 -7 |