Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
7200bf |
Isogeny class |
Conductor |
7200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
164025000000 = 26 · 38 · 58 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2325,-38500] |
[a1,a2,a3,a4,a6] |
Generators |
[61:216:1] |
Generators of the group modulo torsion |
j |
1906624/225 |
j-invariant |
L |
4.2042212402022 |
L(r)(E,1)/r! |
Ω |
0.69283274358086 |
Real period |
R |
3.034080937394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7200f1 14400w2 2400a1 1440c1 |
Quadratic twists by: -4 8 -3 5 |