Atkin-Lehner |
3+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67431d |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
116588199 = 3 · 72 · 133 · 192 |
Discriminant |
Eigenvalues |
-1 3+ -2 7+ -2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-244,-1474] |
[a1,a2,a3,a4,a6] |
Generators |
[22:55:1] [-82:107:8] |
Generators of the group modulo torsion |
j |
731432701/53067 |
j-invariant |
L |
4.6214090393844 |
L(r)(E,1)/r! |
Ω |
1.2134635212087 |
Real period |
R |
1.9042224832462 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67431g2 |
Quadratic twists by: 13 |