Atkin-Lehner |
3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
109005n |
Isogeny class |
Conductor |
109005 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-1740330118995 = -1 · 3 · 5 · 137 · 432 |
Discriminant |
Eigenvalues |
0 3- 5- -3 -3 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3605,-105946] |
[a1,a2,a3,a4,a6] |
Generators |
[2604:18154:27] |
Generators of the group modulo torsion |
j |
-1073741824/360555 |
j-invariant |
L |
4.8529142671654 |
L(r)(E,1)/r! |
Ω |
0.30290660210091 |
Real period |
R |
2.002644650674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999951278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8385d1 |
Quadratic twists by: 13 |