Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
27072bc |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
604273971547865088 = 221 · 310 · 474 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2017164,1102072048] |
[a1,a2,a3,a4,a6] |
Generators |
[2082:195097:8] |
Generators of the group modulo torsion |
j |
4749849927048673/3162033288 |
j-invariant |
L |
6.1417063158438 |
L(r)(E,1)/r! |
Ω |
0.28675417537085 |
Real period |
R |
5.3545046971862 |
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 |
27072cd4 846c4 9024o3 |
Quadratic twists by: -4 8 -3 |