Atkin-Lehner |
2- 3- 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35880t |
Isogeny class |
Conductor |
35880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2005333200 = 24 · 36 · 52 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-315,-162] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:45:1] |
Generators of the group modulo torsion |
j |
216727177216/125333325 |
j-invariant |
L |
6.6436411444621 |
L(r)(E,1)/r! |
Ω |
1.2401800777779 |
Real period |
R |
0.4464164293225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71760e1 107640g1 |
Quadratic twists by: -4 -3 |