Atkin-Lehner |
2- 5- 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
45650z |
Isogeny class |
Conductor |
45650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-467456000 = -1 · 212 · 53 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-298,2212] |
[a1,a2,a3,a4,a6] |
Generators |
[12:14:1] |
Generators of the group modulo torsion |
j |
-23418203381/3739648 |
j-invariant |
L |
11.276408053278 |
L(r)(E,1)/r! |
Ω |
1.6044806226911 |
Real period |
R |
0.29283640382351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45650m1 |
Quadratic twists by: 5 |