Atkin-Lehner |
2- 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
123900g |
Isogeny class |
Conductor |
123900 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-4065468750000 = -1 · 24 · 32 · 510 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2967,-75438] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-525:1] |
Generators of the group modulo torsion |
j |
11550212096/16261875 |
j-invariant |
L |
4.7677282506739 |
L(r)(E,1)/r! |
Ω |
0.41512951449526 |
Real period |
R |
0.95707647312084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998976787 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780i1 |
Quadratic twists by: 5 |