Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bl |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8160 |
Modular degree for the optimal curve |
Δ |
-13007812500 = -1 · 22 · 32 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1888,31892] |
[a1,a2,a3,a4,a6] |
j |
-76215625/1332 |
j-invariant |
L |
5.0516726602351 |
L(r)(E,1)/r! |
Ω |
1.2629181650588 |
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 |
44400bn1 16650z1 5550h1 |
Quadratic twists by: -4 -3 5 |