Atkin-Lehner |
5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
15895b |
Isogeny class |
Conductor |
15895 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
379440 |
Modular degree for the optimal curve |
Δ |
-8116945841530297475 = -1 · 52 · 115 · 1710 |
Discriminant |
Eigenvalues |
0 -3 5+ -2 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,167042,-134531451] |
[a1,a2,a3,a4,a6] |
Generators |
[1509:59612:1] |
Generators of the group modulo torsion |
j |
255688704/4026275 |
j-invariant |
L |
1.5312207949413 |
L(r)(E,1)/r! |
Ω |
0.11391981977247 |
Real period |
R |
6.72060752027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79475d1 15895i1 |
Quadratic twists by: 5 17 |