Atkin-Lehner |
3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
17775i |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
607405078125 = 39 · 58 · 79 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 -5 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2742,41291] |
[a1,a2,a3,a4,a6] |
j |
296595/79 |
j-invariant |
L |
1.7104991284686 |
L(r)(E,1)/r! |
Ω |
0.8552495642343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17775m1 17775d1 |
Quadratic twists by: -3 5 |