Atkin-Lehner |
2- 3+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950en |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-793813097700 = -1 · 22 · 34 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -3 3 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7253,-244609] |
[a1,a2,a3,a4,a6] |
j |
-292789945/5508 |
j-invariant |
L |
3.1005340992928 |
L(r)(E,1)/r! |
Ω |
0.25837789919163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950do1 124950ik1 |
Quadratic twists by: 5 -7 |