Atkin-Lehner |
3- 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
122475v |
Isogeny class |
Conductor |
122475 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-2291459991873046875 = -1 · 310 · 59 · 234 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 2 -1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,328867,-5803981] |
[a1,a2,a3,a4,a6] |
Generators |
[27:1759:1] [73:4312:1] |
Generators of the group modulo torsion |
j |
251746392184193024/146653439479875 |
j-invariant |
L |
11.660532775592 |
L(r)(E,1)/r! |
Ω |
0.15311561113419 |
Real period |
R |
0.47596929731412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24495d1 |
Quadratic twists by: 5 |