Atkin-Lehner |
2- 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
5550x |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-15609375000000 = -1 · 26 · 33 · 512 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 6 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7813,323531] |
[a1,a2,a3,a4,a6] |
j |
-3375675045001/999000000 |
j-invariant |
L |
3.9704873100383 |
L(r)(E,1)/r! |
Ω |
0.66174788500638 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44400cn1 16650p1 1110h1 |
Quadratic twists by: -4 -3 5 |