Atkin-Lehner |
2- 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
105196n |
Isogeny class |
Conductor |
105196 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
204926416005584 = 24 · 74 · 13 · 177 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16569,441196] |
[a1,a2,a3,a4,a6] |
j |
1302642688/530621 |
j-invariant |
L |
1.0220326967502 |
L(r)(E,1)/r! |
Ω |
0.51101603098343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6188b1 |
Quadratic twists by: 17 |