Atkin-Lehner |
2+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120p |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-109008996270080 = -1 · 223 · 5 · 173 · 232 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 -2 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116641,15302335] |
[a1,a2,a3,a4,a6] |
Generators |
[99:2176:1] [285:2300:1] |
Generators of the group modulo torsion |
j |
-669485563505641/415836320 |
j-invariant |
L |
12.20133999305 |
L(r)(E,1)/r! |
Ω |
0.58761000418352 |
Real period |
R |
0.86518126471511 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999960333 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ci1 3910g1 |
Quadratic twists by: -4 8 |