Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
72384z |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
940992 = 26 · 3 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -2 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-546] |
[a1,a2,a3,a4,a6] |
Generators |
[461:9906:1] [106:153:8] |
Generators of the group modulo torsion |
j |
3010936384/14703 |
j-invariant |
L |
10.476294807268 |
L(r)(E,1)/r! |
Ω |
1.4418852786992 |
Real period |
R |
14.531384655878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72384e1 36192y2 |
Quadratic twists by: -4 8 |