Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
5550bq |
Isogeny class |
Conductor |
5550 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-8613003264000000000 = -1 · 230 · 3 · 59 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -2 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1354638,622949892] |
[a1,a2,a3,a4,a6] |
Generators |
[956:13730:1] |
Generators of the group modulo torsion |
j |
-140754878313089741/4409857671168 |
j-invariant |
L |
6.270496109589 |
L(r)(E,1)/r! |
Ω |
0.23106660343423 |
Real period |
R |
0.9045726811222 |
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 |
44400ca1 16650bl1 5550g1 |
Quadratic twists by: -4 -3 5 |