Atkin-Lehner |
2- 3+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650bq |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
227584687500000 = 25 · 39 · 510 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -3 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-34805,-2382803] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:116:1] |
Generators of the group modulo torsion |
j |
24257475/1184 |
j-invariant |
L |
7.8326464107464 |
L(r)(E,1)/r! |
Ω |
0.35059297956951 |
Real period |
R |
2.2341138776835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16650d1 16650g1 |
Quadratic twists by: -3 5 |