Atkin-Lehner |
2- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
14416i |
Isogeny class |
Conductor |
14416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
230656 = 28 · 17 · 53 |
Discriminant |
Eigenvalues |
2- -1 -1 0 -2 1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:2:1] |
Generators of the group modulo torsion |
j |
4194304/901 |
j-invariant |
L |
3.2732551823872 |
L(r)(E,1)/r! |
Ω |
2.2552828704334 |
Real period |
R |
0.72568617118927 |
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 |
3604a1 57664bo1 129744bi1 |
Quadratic twists by: -4 8 -3 |