Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112200bc |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-606362460000000 = -1 · 28 · 3 · 57 · 112 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5492,-1172512] |
[a1,a2,a3,a4,a6] |
Generators |
[49732:1391775:64] |
Generators of the group modulo torsion |
j |
4579058864/151590615 |
j-invariant |
L |
6.6492431888871 |
L(r)(E,1)/r! |
Ω |
0.24803966066256 |
Real period |
R |
6.7017943010988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000077885 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22440u1 |
Quadratic twists by: 5 |