Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200bc |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
1490625000000 = 26 · 32 · 511 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1380258,623689488] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:29058:1] |
Generators of the group modulo torsion |
j |
290806993019813824/1490625 |
j-invariant |
L |
7.9433346881834 |
L(r)(E,1)/r! |
Ω |
0.57629959957376 |
Real period |
R |
6.8916711672497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200ce1 25440z1 |
Quadratic twists by: -4 5 |