Atkin-Lehner |
5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275c |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-1355921875 = -1 · 56 · 73 · 11 · 23 |
Discriminant |
Eigenvalues |
0 2 5+ 7+ 11+ -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-483,4618] |
[a1,a2,a3,a4,a6] |
j |
-799178752/86779 |
j-invariant |
L |
1.4824062581361 |
L(r)(E,1)/r! |
Ω |
1.4824062581074 |
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 |
1771c1 |
Quadratic twists by: 5 |