Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850bw |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-109670400000000 = -1 · 218 · 32 · 58 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63938,-6248508] |
[a1,a2,a3,a4,a6] |
j |
-1850040570997081/7018905600 |
j-invariant |
L |
5.4029834649019 |
L(r)(E,1)/r! |
Ω |
0.15008287402505 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53550bx1 3570f1 124950ft1 |
Quadratic twists by: -3 5 -7 |