Atkin-Lehner |
3+ 5+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
125925g |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
125925 = 3 · 52 · 23 · 73 |
Discriminant |
Eigenvalues |
0 3+ 5+ -1 4 -4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1273,17913] |
[a1,a2,a3,a4,a6] |
Generators |
[21:0:1] [-14007:3737:343] |
Generators of the group modulo torsion |
j |
9132927877120/5037 |
j-invariant |
L |
8.8345901190233 |
L(r)(E,1)/r! |
Ω |
2.7116746442607 |
Real period |
R |
3.2579830830991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001305 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925bb1 |
Quadratic twists by: 5 |