Atkin-Lehner |
2- 5- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
107120p |
Isogeny class |
Conductor |
107120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
38912 |
Modular degree for the optimal curve |
Δ |
-356495360 = -1 · 212 · 5 · 132 · 103 |
Discriminant |
Eigenvalues |
2- 1 5- 2 0 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-840,9140] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:104:1] |
Generators of the group modulo torsion |
j |
-16022066761/87035 |
j-invariant |
L |
8.688967112026 |
L(r)(E,1)/r! |
Ω |
1.7109057138715 |
Real period |
R |
0.63482217518195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6695a1 |
Quadratic twists by: -4 |