Atkin-Lehner |
2+ 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166g |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-277660680192 = -1 · 214 · 310 · 7 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3402,-79628] |
[a1,a2,a3,a4,a6] |
j |
-5974078398625/380878848 |
j-invariant |
L |
0.62281911077145 |
L(r)(E,1)/r! |
Ω |
0.31140955538572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41328bu1 1722j1 129150dd1 36162z1 |
Quadratic twists by: -4 -3 5 -7 |