Atkin-Lehner |
2+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816u |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-347488235454464 = -1 · 215 · 139 |
Discriminant |
Eigenvalues |
2+ 3 3 -1 -4 13- 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-61516,-5940688] |
[a1,a2,a3,a4,a6] |
j |
-74088 |
j-invariant |
L |
5.4522566678529 |
L(r)(E,1)/r! |
Ω |
0.15145157410702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816w1 5408g1 97344dm1 10816v1 |
Quadratic twists by: -4 8 -3 13 |