Atkin-Lehner |
2+ 3- 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832b |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
47616 |
Modular degree for the optimal curve |
Δ |
-550296576 = -1 · 210 · 32 · 292 · 71 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 4 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,136,996] |
[a1,a2,a3,a4,a6] |
j |
269676572/537399 |
j-invariant |
L |
4.5342821190062 |
L(r)(E,1)/r! |
Ω |
1.1335705218964 |
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 |
49416d1 |
Quadratic twists by: -4 |