Atkin-Lehner |
5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41905g |
Isogeny class |
Conductor |
41905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
59499107585 = 5 · 177 · 29 |
Discriminant |
Eigenvalues |
-1 2 5- 0 4 -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14745,682910] |
[a1,a2,a3,a4,a6] |
Generators |
[390:2105:8] |
Generators of the group modulo torsion |
j |
14688124849/2465 |
j-invariant |
L |
5.6773651040259 |
L(r)(E,1)/r! |
Ω |
1.075706525036 |
Real period |
R |
5.2778011212927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2465a1 |
Quadratic twists by: 17 |