Atkin-Lehner |
3+ 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431f |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
35291814106182543 = 310 · 73 · 136 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-325413,70740132] |
[a1,a2,a3,a4,a6] |
Generators |
[-450:11463:1] |
Generators of the group modulo torsion |
j |
789529529265625/7311624327 |
j-invariant |
L |
3.1146331449108 |
L(r)(E,1)/r! |
Ω |
0.36869487930213 |
Real period |
R |
1.407954255105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
399a2 |
Quadratic twists by: 13 |