Atkin-Lehner |
2- 7+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60088d |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64000 |
Modular degree for the optimal curve |
Δ |
-4953698944768 = -1 · 28 · 75 · 292 · 372 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4172,25284] |
[a1,a2,a3,a4,a6] |
j |
31362635054000/19350386503 |
j-invariant |
L |
1.898603196259 |
L(r)(E,1)/r! |
Ω |
0.47465079923257 |
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 |
120176h1 |
Quadratic twists by: -4 |