Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775ba |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
255051821925 = 317 · 52 · 79 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1782,-15309] |
[a1,a2,a3,a4,a6] |
Generators |
[270:4239:1] |
Generators of the group modulo torsion |
j |
34349178505/13994613 |
j-invariant |
L |
4.7413976259137 |
L(r)(E,1)/r! |
Ω |
0.76142403552912 |
Real period |
R |
1.5567533347627 |
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 |
5925h1 17775bg1 |
Quadratic twists by: -3 5 |