Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1456273728 = -1 · 26 · 36 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,-1836] |
[a1,a2,a3,a4,a6] |
Generators |
[258:1431:8] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
5.5708664392275 |
L(r)(E,1)/r! |
Ω |
0.69831139624879 |
Real period |
R |
3.9888124905268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416br1 26208w2 5824h1 |
Quadratic twists by: -4 8 -3 |