Atkin-Lehner |
2- 3- 5+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
108240by |
Isogeny class |
Conductor |
108240 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
3506976000 = 28 · 35 · 53 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4141,101159] |
[a1,a2,a3,a4,a6] |
Generators |
[35:18:1] |
Generators of the group modulo torsion |
j |
30683458576384/13699125 |
j-invariant |
L |
8.9161502527918 |
L(r)(E,1)/r! |
Ω |
1.3849697415909 |
Real period |
R |
0.64377942505219 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001484 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27060d1 |
Quadratic twists by: -4 |