Atkin-Lehner |
3- 5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
101745v |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
1583862888825 = 36 · 52 · 72 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 0 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1128398,-461079444] |
[a1,a2,a3,a4,a6] |
j |
217962984621942385561/2172651425 |
j-invariant |
L |
1.7577827881846 |
L(r)(E,1)/r! |
Ω |
0.14648191469211 |
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 |
11305h1 |
Quadratic twists by: -3 |