Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bw |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1429386130437890625 = 32 · 58 · 76 · 112 · 134 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3558504,2582805481] |
[a1,a2,a3,a4,a6] |
j |
42358217070122052841/12149581640625 |
j-invariant |
L |
1.0541817060722 |
L(r)(E,1)/r! |
Ω |
0.26354535751983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2145d2 |
Quadratic twists by: -7 |