Atkin-Lehner |
2- 5+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
44650o |
Isogeny class |
Conductor |
44650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81408 |
Modular degree for the optimal curve |
Δ |
-32789843750 = -1 · 2 · 58 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 6 -3 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4438,112281] |
[a1,a2,a3,a4,a6] |
j |
-618688004761/2098550 |
j-invariant |
L |
4.6897365708778 |
L(r)(E,1)/r! |
Ω |
1.1724341426909 |
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 |
8930c1 |
Quadratic twists by: 5 |