Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
45012m |
Isogeny class |
Conductor |
45012 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-115784663418864 = -1 · 24 · 32 · 1110 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11- 2 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,686,517889] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:363:1] |
Generators of the group modulo torsion |
j |
1257728/4084839 |
j-invariant |
L |
8.3412380470654 |
L(r)(E,1)/r! |
Ω |
0.4643216319987 |
Real period |
R |
1.497029478459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4092e1 |
Quadratic twists by: -11 |