Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382cf |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-24524172904568832 = -1 · 211 · 316 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 11- -3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41405,-8192379] |
[a1,a2,a3,a4,a6] |
Generators |
[347:4200:1] |
Generators of the group modulo torsion |
j |
-735485265625/2297714688 |
j-invariant |
L |
8.3243449246155 |
L(r)(E,1)/r! |
Ω |
0.15441525063591 |
Real period |
R |
1.225200597729 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794d1 41382l1 |
Quadratic twists by: -3 -11 |