Atkin-Lehner |
2- 5- 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120dc |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
-14463872000 = -1 · 210 · 53 · 173 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -4 -3 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-232,5944] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:20:1] [-7:85:1] |
Generators of the group modulo torsion |
j |
-1348614144/14124875 |
j-invariant |
L |
5.9029878712291 |
L(r)(E,1)/r! |
Ω |
1.0649697744666 |
Real period |
R |
0.30793716288885 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999912248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120bj1 31280e1 |
Quadratic twists by: -4 8 |