Atkin-Lehner |
2- 3- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832n |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-1487653395038208 = -1 · 216 · 37 · 29 · 713 |
Discriminant |
Eigenvalues |
2- 3- 0 3 0 6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1943928,1042555860] |
[a1,a2,a3,a4,a6] |
j |
-198337353292262661625/363196629648 |
j-invariant |
L |
5.7315053690792 |
L(r)(E,1)/r! |
Ω |
0.40939325972174 |
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 |
12354a1 |
Quadratic twists by: -4 |