Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944cq |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 -1 7+ 4 5 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-68473] |
[a1,a2,a3,a4,a6] |
j |
9834496/29 |
j-invariant |
L |
5.7132906832769 |
L(r)(E,1)/r! |
Ω |
0.63481007868515 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90944e1 22736t1 90944di1 |
Quadratic twists by: -4 8 -7 |