Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816i |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-32898294480896 = -1 · 219 · 137 |
Discriminant |
Eigenvalues |
2+ -1 -3 1 6 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,5183,233921] |
[a1,a2,a3,a4,a6] |
Generators |
[35:676:1] |
Generators of the group modulo torsion |
j |
12167/26 |
j-invariant |
L |
3.0844300450575 |
L(r)(E,1)/r! |
Ω |
0.45500805097196 |
Real period |
R |
0.84735589800794 |
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 |
10816bf1 338c1 97344cl1 832c1 |
Quadratic twists by: -4 8 -3 13 |