Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bn |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
4620868560 = 24 · 37 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-642,-5339] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:9:1] |
Generators of the group modulo torsion |
j |
2508888064/396165 |
j-invariant |
L |
5.7316917299783 |
L(r)(E,1)/r! |
Ω |
0.95855543910776 |
Real period |
R |
1.4948774729486 |
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 |
55440bm1 9240k1 |
Quadratic twists by: -4 -3 |