Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5320h |
Isogeny class |
Conductor |
5320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
12771458000 = 24 · 53 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2162,38309] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:190:1] |
Generators of the group modulo torsion |
j |
69850705729536/798216125 |
j-invariant |
L |
3.9962276089661 |
L(r)(E,1)/r! |
Ω |
1.26794839377 |
Real period |
R |
1.050575777532 |
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 |
10640d1 42560m1 47880n1 26600c1 |
Quadratic twists by: -4 8 -3 5 |