Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
16650cv |
Isogeny class |
Conductor |
16650 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-23632663680000 = -1 · 210 · 36 · 54 · 373 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 2 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4280,-256453] |
[a1,a2,a3,a4,a6] |
Generators |
[105:613:1] |
Generators of the group modulo torsion |
j |
-19026212425/51868672 |
j-invariant |
L |
6.6922151729743 |
L(r)(E,1)/r! |
Ω |
0.27392108721519 |
Real period |
R |
0.40718632027752 |
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 |
1850g1 16650o1 |
Quadratic twists by: -3 5 |