Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
46200dc |
Isogeny class |
Conductor |
46200 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
403200 |
Modular degree for the optimal curve |
Δ |
82184325300000000 = 28 · 36 · 58 · 7 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-168833,22806963] |
[a1,a2,a3,a4,a6] |
Generators |
[133:-1650:1] |
Generators of the group modulo torsion |
j |
5322287088640/821843253 |
j-invariant |
L |
6.5815351277301 |
L(r)(E,1)/r! |
Ω |
0.32752247911715 |
Real period |
R |
0.11163839545156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92400bl1 46200n1 |
Quadratic twists by: -4 5 |