Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27040u |
Isogeny class |
Conductor |
27040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
1544578880 = 26 · 5 · 136 |
Discriminant |
Eigenvalues |
2- -2 5- 2 4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1070,12988] |
[a1,a2,a3,a4,a6] |
Generators |
[13:38:1] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
4.3565854943607 |
L(r)(E,1)/r! |
Ω |
1.5120311208659 |
Real period |
R |
2.8812803084804 |
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 |
27040j1 54080n2 160a1 |
Quadratic twists by: -4 8 13 |