Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45012i |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
2377728 |
Modular degree for the optimal curve |
Δ |
-1.0172886683436E+21 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11- 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7698060,8360343396] |
[a1,a2,a3,a4,a6] |
Generators |
[1800:18414:1] |
Generators of the group modulo torsion |
j |
-13460368135054929616/271414784558241 |
j-invariant |
L |
9.3608471670351 |
L(r)(E,1)/r! |
Ω |
0.1559877834291 |
Real period |
R |
0.13891233803796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999886 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45012j1 |
Quadratic twists by: -11 |