Atkin-Lehner |
2- 7- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
109564n |
Isogeny class |
Conductor |
109564 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
244985104 = 24 · 72 · 132 · 432 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -5 13+ 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5509,157381] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:559:1] [39:43:1] |
Generators of the group modulo torsion |
j |
23584461610752/312481 |
j-invariant |
L |
5.2113026527458 |
L(r)(E,1)/r! |
Ω |
1.5998246039775 |
Real period |
R |
0.27145177025318 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109564g1 |
Quadratic twists by: -7 |