Atkin-Lehner |
3- 5+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bq |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
135168 |
Modular degree for the optimal curve |
Δ |
1335359025 = 32 · 52 · 73 · 113 · 13 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-22699,-1318159] |
[a1,a2,a3,a4,a6] |
Generators |
[2131817:40205911:4913] |
Generators of the group modulo torsion |
j |
3770702449025023/3893175 |
j-invariant |
L |
8.8470577438471 |
L(r)(E,1)/r! |
Ω |
0.38895574660978 |
Real period |
R |
11.372833287178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021794 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105105bd1 |
Quadratic twists by: -7 |