Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
6360l |
Isogeny class |
Conductor |
6360 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
11127456000 = 28 · 38 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2100,36000] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:270:1] |
Generators of the group modulo torsion |
j |
4002657422416/43466625 |
j-invariant |
L |
4.7921868863383 |
L(r)(E,1)/r! |
Ω |
1.2828847497117 |
Real period |
R |
0.15564488832088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12720h1 50880a1 19080b1 31800b1 |
Quadratic twists by: -4 8 -3 5 |