Atkin-Lehner |
5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
109265a |
Isogeny class |
Conductor |
109265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-10696878492913925 = -1 · 52 · 133 · 417 |
Discriminant |
Eigenvalues |
-1 1 5+ 4 6 13+ -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228651,42357230] |
[a1,a2,a3,a4,a6] |
Generators |
[5871:43292:27] |
Generators of the group modulo torsion |
j |
-278317173889/2251925 |
j-invariant |
L |
5.0886449015918 |
L(r)(E,1)/r! |
Ω |
0.40741903425232 |
Real period |
R |
3.1224884543513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999959613 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2665d1 |
Quadratic twists by: 41 |