Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816bc |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-8224573620224 = -1 · 217 · 137 |
Discriminant |
Eigenvalues |
2- 1 -1 5 2 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11041,463711] |
[a1,a2,a3,a4,a6] |
j |
-235298/13 |
j-invariant |
L |
2.9092241374917 |
L(r)(E,1)/r! |
Ω |
0.72730603437291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816f1 2704a1 97344ew1 832i1 |
Quadratic twists by: -4 8 -3 13 |