Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944cn |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
10699470656 = 26 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 4 5 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-686,4802] |
[a1,a2,a3,a4,a6] |
j |
96768/29 |
j-invariant |
L |
3.567623791384 |
L(r)(E,1)/r! |
Ω |
1.1892079002149 |
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 |
90944co1 45472y1 90944cz1 |
Quadratic twists by: -4 8 -7 |