Atkin-Lehner |
5+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
24505a |
Isogeny class |
Conductor |
24505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
227463374125 = 53 · 137 · 29 |
Discriminant |
Eigenvalues |
0 1 5+ 1 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-11041,442290] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:929:1] |
Generators of the group modulo torsion |
j |
30840979456/47125 |
j-invariant |
L |
4.5441654902774 |
L(r)(E,1)/r! |
Ω |
0.99265455991357 |
Real period |
R |
2.2888956913032 |
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 |
122525b1 1885e1 |
Quadratic twists by: 5 13 |