Atkin-Lehner |
2- 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
21150cl |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
29603232000 = 28 · 39 · 53 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-950,7877] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:145:1] |
Generators of the group modulo torsion |
j |
1039509197/324864 |
j-invariant |
L |
7.9090167764293 |
L(r)(E,1)/r! |
Ω |
1.0896065810202 |
Real period |
R |
0.45366241094469 |
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 |
7050m1 21150bc1 |
Quadratic twists by: -3 5 |