Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
105280bn |
Isogeny class |
Conductor |
105280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
55197040640000 = 228 · 54 · 7 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 2 6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17505,-822497] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:35:1] |
Generators of the group modulo torsion |
j |
2263054145689/210560000 |
j-invariant |
L |
5.5767616130449 |
L(r)(E,1)/r! |
Ω |
0.41753065029925 |
Real period |
R |
3.3391330697578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008676 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105280j1 26320i1 |
Quadratic twists by: -4 8 |