Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
27720bp |
Isogeny class |
Conductor |
27720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1278000218880 = -1 · 28 · 37 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3972,110644] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-198:1] |
Generators of the group modulo torsion |
j |
-37135043584/6847995 |
j-invariant |
L |
6.305959180367 |
L(r)(E,1)/r! |
Ω |
0.8265091580821 |
Real period |
R |
0.63580251135187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55440bo1 9240m1 |
Quadratic twists by: -4 -3 |