Atkin-Lehner |
3- 5- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105cp |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
559104 |
Modular degree for the optimal curve |
Δ |
-17019562509324375 = -1 · 3 · 54 · 79 · 113 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8625,-6285000] |
[a1,a2,a3,a4,a6] |
j |
-1758416743/421760625 |
j-invariant |
L |
2.0900188322177 |
L(r)(E,1)/r! |
Ω |
0.17416824582186 |
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 |
105105o1 |
Quadratic twists by: -7 |