Atkin-Lehner |
5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
44275d |
Isogeny class |
Conductor |
44275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
51511680 |
Modular degree for the optimal curve |
Δ |
3.1444028756624E+25 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ 11+ 5 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4103720208,-101182944357182] |
[a1,a2,a3,a4,a6] |
j |
782630731857294774455603200/3219868544678274797 |
j-invariant |
L |
1.0185890096101 |
L(r)(E,1)/r! |
Ω |
0.018862759440333 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44275p1 |
Quadratic twists by: 5 |