Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342q |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
158413627664082 = 2 · 36 · 76 · 314 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13533,-18901] |
[a1,a2,a3,a4,a6] |
Generators |
[-95:682:1] [-61:790:1] |
Generators of the group modulo torsion |
j |
3196010817/1847042 |
j-invariant |
L |
5.4892125392766 |
L(r)(E,1)/r! |
Ω |
0.48389409544601 |
Real period |
R |
1.4179787971525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3038i4 558c4 |
Quadratic twists by: -3 -7 |