Atkin-Lehner |
2+ 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072t |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
4795723584 = 26 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 -5 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,-1366] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-243:1] [-5:27:1] |
Generators of the group modulo torsion |
j |
207474688/102789 |
j-invariant |
L |
6.3068913816494 |
L(r)(E,1)/r! |
Ω |
1.0943862509858 |
Real period |
R |
1.4407370743122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27072cr1 423e1 9024l1 |
Quadratic twists by: -4 8 -3 |