Atkin-Lehner |
2- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
41038p |
Isogeny class |
Conductor |
41038 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
5184 |
Modular degree for the optimal curve |
Δ |
-164152 = -1 · 23 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 2 0 -2 -3 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-23,37] |
[a1,a2,a3,a4,a6] |
Generators |
[5:6:1] |
Generators of the group modulo torsion |
j |
-4668625/568 |
j-invariant |
L |
12.250943405229 |
L(r)(E,1)/r! |
Ω |
3.1347802567328 |
Real period |
R |
1.3026902900044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41038r1 |
Quadratic twists by: 17 |