Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352eh |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-15210810768384 = -1 · 210 · 313 · 7 · 113 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 11+ -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1572,-186104] |
[a1,a2,a3,a4,a6] |
j |
575511296/20376279 |
j-invariant |
L |
1.3473897855399 |
L(r)(E,1)/r! |
Ω |
0.33684744638175 |
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 |
44352bi1 11088x1 14784cp1 |
Quadratic twists by: -4 8 -3 |