Atkin-Lehner |
2+ 5- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550ba |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
3696000 |
Modular degree for the optimal curve |
Δ |
2.1194488151444E+20 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 11- 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1505575,-123032875] |
[a1,a2,a3,a4,a6] |
Generators |
[-215:13920:1] |
Generators of the group modulo torsion |
j |
193241904008457221/108515779335392 |
j-invariant |
L |
3.9909975193549 |
L(r)(E,1)/r! |
Ω |
0.14658528422268 |
Real period |
R |
0.64824891228966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999374692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121550cc1 |
Quadratic twists by: 5 |