Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816f |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[217:2704:1] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
2.1470116984759 |
L(r)(E,1)/r! |
Ω |
0.23212524370559 |
Real period |
R |
1.1561709447245 |
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 |
10816bc1 1352a1 97344bg1 832e1 |
Quadratic twists by: -4 8 -3 13 |