Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23120bc |
Isogeny class |
Conductor |
23120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
32827093840 = 24 · 5 · 177 |
Discriminant |
Eigenvalues |
2- 0 5- -4 2 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8092,-280041] |
[a1,a2,a3,a4,a6] |
Generators |
[48955487180:-2986800218517:13144256] |
Generators of the group modulo torsion |
j |
151732224/85 |
j-invariant |
L |
4.110384202037 |
L(r)(E,1)/r! |
Ω |
0.50338490563718 |
Real period |
R |
16.3309791613 |
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 |
5780d1 92480cz1 115600bf1 1360e1 |
Quadratic twists by: -4 8 5 17 |