Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52200ch |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
676512000 = 28 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-495,4050] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:72:1] [-15:90:1] |
Generators of the group modulo torsion |
j |
574992/29 |
j-invariant |
L |
9.3574090371432 |
L(r)(E,1)/r! |
Ω |
1.5926799717524 |
Real period |
R |
0.73440750834312 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104400bw1 5800f1 52200ba1 |
Quadratic twists by: -4 -3 5 |