Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072ca |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6578496 = 26 · 37 · 47 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -1 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-948,-11234] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:1:27] |
Generators of the group modulo torsion |
j |
2019487744/141 |
j-invariant |
L |
5.9225056327267 |
L(r)(E,1)/r! |
Ω |
0.86039779706343 |
Real period |
R |
3.4417252420569 |
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 |
27072ba1 6768m1 9024bs1 |
Quadratic twists by: -4 8 -3 |