Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
41184u |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-4353414766272 = -1 · 26 · 39 · 112 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 11- 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2835,81864] |
[a1,a2,a3,a4,a6] |
Generators |
[408:8316:1] |
Generators of the group modulo torsion |
j |
2000376000/3455881 |
j-invariant |
L |
6.9020830980653 |
L(r)(E,1)/r! |
Ω |
0.53221666427852 |
Real period |
R |
3.2421396967278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41184s1 82368ct2 41184a1 |
Quadratic twists by: -4 8 -3 |