Atkin-Lehner |
3- 5- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cl |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
662437400625 = 32 · 54 · 77 · 11 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9605,359400] |
[a1,a2,a3,a4,a6] |
Generators |
[61:7:1] |
Generators of the group modulo torsion |
j |
832972004929/5630625 |
j-invariant |
L |
5.5796565282266 |
L(r)(E,1)/r! |
Ω |
0.91369265473343 |
Real period |
R |
3.0533552328329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055853 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15015a1 |
Quadratic twists by: -7 |