Atkin-Lehner |
2- 7- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
44198bh |
Isogeny class |
Conductor |
44198 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
54451936 = 25 · 73 · 112 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11- 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6161,183567] |
[a1,a2,a3,a4,a6] |
Generators |
[43:-44:1] |
Generators of the group modulo torsion |
j |
75402826203223/158752 |
j-invariant |
L |
7.1587984535685 |
L(r)(E,1)/r! |
Ω |
1.7134649598263 |
Real period |
R |
0.20889830318711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44198bc1 |
Quadratic twists by: -7 |