Atkin-Lehner |
2- 13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10166f |
Isogeny class |
Conductor |
10166 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
-8458112 = -1 · 27 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
2- -1 2 -1 2 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,33,133] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
3966822287/8458112 |
j-invariant |
L |
6.0999781037919 |
L(r)(E,1)/r! |
Ω |
1.6111172361441 |
Real period |
R |
0.27044135083691 |
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 |
81328o1 91494o1 |
Quadratic twists by: -4 -3 |