Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736cy |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
494208 |
Modular degree for the optimal curve |
Δ |
-5756863265041152 = -1 · 28 · 3 · 1110 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- 2 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,39043,-2110473] |
[a1,a2,a3,a4,a6] |
j |
991232/867 |
j-invariant |
L |
3.7581501692191 |
L(r)(E,1)/r! |
Ω |
0.2348844036194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24684a1 98736dg1 |
Quadratic twists by: -4 -11 |