Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072bc |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3093110040293277696 = 221 · 322 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1233804,-520662800] |
[a1,a2,a3,a4,a6] |
Generators |
[-5528559231300:-22202179748825:8539701184] |
Generators of the group modulo torsion |
j |
1086913000972513/16185567096 |
j-invariant |
L |
6.1417063158438 |
L(r)(E,1)/r! |
Ω |
0.14337708768542 |
Real period |
R |
21.418018788745 |
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 |
27072cd3 846c3 9024o4 |
Quadratic twists by: -4 8 -3 |