Atkin-Lehner |
2- 29- |
Signs for the Atkin-Lehner involutions |
Class |
53824bi |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
-1560896 = -1 · 26 · 293 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29,0] |
[a1,a2,a3,a4,a6] |
Generators |
[50:165:8] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
2.9308425159828 |
L(r)(E,1)/r! |
Ω |
1.5979298830095 |
Real period |
R |
3.6682992753757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53824bi1 26912b2 53824bh1 |
Quadratic twists by: -4 8 29 |