Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840r |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
2.1183303361522E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5010933,-4260270868] |
[a1,a2,a3,a4,a6] |
Generators |
[-68487979180849:-249929076228532:57467768779] |
Generators of the group modulo torsion |
j |
298244193811346574784/4540317078515625 |
j-invariant |
L |
4.6528672188922 |
L(r)(E,1)/r! |
Ω |
0.10099979059261 |
Real period |
R |
23.034043890546 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15840h1 31680br2 5280e1 79200v1 |
Quadratic twists by: -4 8 -3 5 |