Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400ia |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
1200012903936000 = 212 · 33 · 53 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27048,-401292] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:726:1] |
Generators of the group modulo torsion |
j |
4274401176989/2343775203 |
j-invariant |
L |
7.4263775564092 |
L(r)(E,1)/r! |
Ω |
0.3978540425993 |
Real period |
R |
0.51850237406495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920855 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5775m2 92400fs2 |
Quadratic twists by: -4 5 |