Atkin-Lehner |
7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15827k |
Isogeny class |
Conductor |
15827 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2432 |
Modular degree for the optimal curve |
Δ |
-110789 = -1 · 73 · 17 · 19 |
Discriminant |
Eigenvalues |
-1 -3 3 7- 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6,18] |
[a1,a2,a3,a4,a6] |
Generators |
[2:2:1] |
Generators of the group modulo torsion |
j |
-59319/323 |
j-invariant |
L |
2.3676613644339 |
L(r)(E,1)/r! |
Ω |
2.8866411047147 |
Real period |
R |
0.41010663926437 |
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 |
15827f1 |
Quadratic twists by: -7 |