Atkin-Lehner |
2- 3+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
83472i |
Isogeny class |
Conductor |
83472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-9487761408 = -1 · 214 · 32 · 372 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1168,-15680] |
[a1,a2,a3,a4,a6] |
j |
-43059012625/2316348 |
j-invariant |
L |
1.6281016203646 |
L(r)(E,1)/r! |
Ω |
0.40702541766343 |
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 |
10434i1 |
Quadratic twists by: -4 |