Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
15162ba |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
60800 |
Modular degree for the optimal curve |
Δ |
189740366294052 = 22 · 3 · 72 · 199 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16433,465765] |
[a1,a2,a3,a4,a6] |
Generators |
[1062:484037:729] |
Generators of the group modulo torsion |
j |
1520875/588 |
j-invariant |
L |
8.2404409044152 |
L(r)(E,1)/r! |
Ω |
0.51667830665216 |
Real period |
R |
7.9744405738741 |
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 |
121296by1 45486e1 106134bt1 15162b1 |
Quadratic twists by: -4 -3 -7 -19 |