Atkin-Lehner |
2- 3- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33150ck |
Isogeny class |
Conductor |
33150 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
3732480 |
Modular degree for the optimal curve |
Δ |
-3.2976367916544E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 13- 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4157138,9325829892] |
[a1,a2,a3,a4,a6] |
Generators |
[1252:-78626:1] |
Generators of the group modulo torsion |
j |
-4067963094761079821/16883900373270528 |
j-invariant |
L |
10.795309552101 |
L(r)(E,1)/r! |
Ω |
0.10171266965135 |
Real period |
R |
0.4913673501516 |
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 |
99450bv1 33150l1 |
Quadratic twists by: -3 5 |