Atkin-Lehner |
3+ 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27495a |
Isogeny class |
Conductor |
27495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
347906006296875 = 33 · 56 · 132 · 474 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 4 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-248205,47648926] |
[a1,a2,a3,a4,a6] |
Generators |
[8166:7292:27] |
Generators of the group modulo torsion |
j |
62631456311131922187/12885407640625 |
j-invariant |
L |
6.5490207279604 |
L(r)(E,1)/r! |
Ω |
0.52413743236883 |
Real period |
R |
3.1237135164923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27495d2 |
Quadratic twists by: -3 |