Atkin-Lehner |
3- 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105bw |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
410080295625 = 3 · 54 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11- 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3558259,2583179057] |
[a1,a2,a3,a4,a6] |
j |
42349468688699229721/3485625 |
j-invariant |
L |
1.0541817060722 |
L(r)(E,1)/r! |
Ω |
0.52709071503966 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2145d1 |
Quadratic twists by: -7 |