Atkin-Lehner |
3+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275b |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
539136 |
Modular degree for the optimal curve |
Δ |
-221512376953125 = -1 · 34 · 59 · 313 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -3 -2 4 6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-144813,-21283344] |
[a1,a2,a3,a4,a6] |
Generators |
[7315:621167:1] |
Generators of the group modulo torsion |
j |
-21494459334022921/14176792125 |
j-invariant |
L |
3.0440431021427 |
L(r)(E,1)/r! |
Ω |
0.1223631015118 |
Real period |
R |
6.2192831230607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21855d1 |
Quadratic twists by: 5 |