Atkin-Lehner |
5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11495f |
Isogeny class |
Conductor |
11495 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
529920 |
Modular degree for the optimal curve |
Δ |
83539066180625 = 54 · 117 · 193 |
Discriminant |
Eigenvalues |
-1 0 5- 0 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-118871512,498873762786] |
[a1,a2,a3,a4,a6] |
Generators |
[11714163792:-5856582982:1860867] |
Generators of the group modulo torsion |
j |
104857852278310619039721/47155625 |
j-invariant |
L |
2.7938977728766 |
L(r)(E,1)/r! |
Ω |
0.25715284324534 |
Real period |
R |
10.864736075312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103455m1 57475i1 1045b1 |
Quadratic twists by: -3 5 -11 |