Atkin-Lehner |
2+ 5- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
106600g |
Isogeny class |
Conductor |
106600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3763584 |
Modular degree for the optimal curve |
Δ |
-6679026571185280000 = -1 · 210 · 54 · 133 · 416 |
Discriminant |
Eigenvalues |
2+ 0 5- 5 1 13+ 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12420275,-16848326050] |
[a1,a2,a3,a4,a6] |
Generators |
[549923989433:3697108897064644:12167] |
Generators of the group modulo torsion |
j |
-331083374805701273700/10435979017477 |
j-invariant |
L |
8.6402556289908 |
L(r)(E,1)/r! |
Ω |
0.040210172363282 |
Real period |
R |
17.906446555633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106600l1 |
Quadratic twists by: 5 |