Atkin-Lehner |
2- 3+ 29+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
98832g |
Isogeny class |
Conductor |
98832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1193472 |
Modular degree for the optimal curve |
Δ |
75548357296128 = 224 · 37 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1501352,708563568] |
[a1,a2,a3,a4,a6] |
j |
91371685016636673193/18444423168 |
j-invariant |
L |
4.3611663156812 |
L(r)(E,1)/r! |
Ω |
0.4845740364957 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12354d1 |
Quadratic twists by: -4 |