Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5406d |
Isogeny class |
Conductor |
5406 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-25508708352 = -1 · 220 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,165,7654] |
[a1,a2,a3,a4,a6] |
Generators |
[8:93:1] |
Generators of the group modulo torsion |
j |
501133790807/25508708352 |
j-invariant |
L |
3.7587331966363 |
L(r)(E,1)/r! |
Ω |
0.90574918842099 |
Real period |
R |
2.7665739733748 |
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 |
43248n1 16218q1 91902b1 |
Quadratic twists by: -4 -3 17 |