Atkin-Lehner |
3- 5+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98175y |
Isogeny class |
Conductor |
98175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2695680 |
Modular degree for the optimal curve |
Δ |
-175628455857421875 = -1 · 32 · 59 · 75 · 112 · 173 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 11+ 5 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-525008,147625769] |
[a1,a2,a3,a4,a6] |
j |
-1024241283846148096/11240221174875 |
j-invariant |
L |
5.1580685259834 |
L(r)(E,1)/r! |
Ω |
0.32237928553885 |
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 |
19635p1 |
Quadratic twists by: 5 |