Atkin-Lehner |
2+ 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
13110n |
Isogeny class |
Conductor |
13110 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-499333680 = -1 · 24 · 33 · 5 · 19 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 3 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,191,356] |
[a1,a2,a3,a4,a6] |
j |
776404954871/499333680 |
j-invariant |
L |
2.0635754980086 |
L(r)(E,1)/r! |
Ω |
1.0317877490043 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104880y1 39330bx1 65550br1 |
Quadratic twists by: -4 -3 5 |