Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040dl |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
357 |
Product of Tamagawa factors cp |
deg |
3769920 |
Modular degree for the optimal curve |
Δ |
-3.4602926041047E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33026990,-73612458537] |
[a1,a2,a3,a4,a6] |
Generators |
[49771:11026125:1] |
Generators of the group modulo torsion |
j |
-1161633816071508736/10089075234375 |
j-invariant |
L |
7.3973118241682 |
L(r)(E,1)/r! |
Ω |
0.031472208952062 |
Real period |
R |
0.65838281144477 |
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 |
7260g1 116160fn1 87120ej1 29040dk1 |
Quadratic twists by: -4 8 -3 -11 |