Atkin-Lehner |
2- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13940j |
Isogeny class |
Conductor |
13940 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
6970000 = 24 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -4 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90,-275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
5095042816/435625 |
j-invariant |
L |
3.9993490442402 |
L(r)(E,1)/r! |
Ω |
1.5570297778112 |
Real period |
R |
0.64214395595284 |
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 |
55760z1 125460e1 69700c1 |
Quadratic twists by: -4 -3 5 |