Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
52200bm |
Isogeny class |
Conductor |
52200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-9787500000000 = -1 · 28 · 33 · 511 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2700,140500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:450:1] |
Generators of the group modulo torsion |
j |
20155392/90625 |
j-invariant |
L |
6.8553244595932 |
L(r)(E,1)/r! |
Ω |
0.52015532909275 |
Real period |
R |
1.6474224323289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400h1 52200a1 10440b1 |
Quadratic twists by: -4 -3 5 |