Atkin-Lehner |
3- 5- 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
125715z |
Isogeny class |
Conductor |
125715 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
689920 |
Modular degree for the optimal curve |
Δ |
-13288863183046875 = -1 · 35 · 57 · 176 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- 2 -1 6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,22735,-5379481] |
[a1,a2,a3,a4,a6] |
Generators |
[181:2167:1] |
Generators of the group modulo torsion |
j |
53838872576/550546875 |
j-invariant |
L |
9.2080909615486 |
L(r)(E,1)/r! |
Ω |
0.19633174629842 |
Real period |
R |
0.67000961516981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999095765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
435b1 |
Quadratic twists by: 17 |