Atkin-Lehner |
3- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
15351f |
Isogeny class |
Conductor |
15351 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
124757577 = 34 · 72 · 17 · 432 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1420,20471] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-1:1] |
Generators of the group modulo torsion |
j |
316670684057281/124757577 |
j-invariant |
L |
2.7812690982294 |
L(r)(E,1)/r! |
Ω |
1.8253717943817 |
Real period |
R |
0.38091816510886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46053i1 107457g1 |
Quadratic twists by: -3 -7 |