Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
90944w |
Isogeny class |
Conductor |
90944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1528495808 = -1 · 26 · 77 · 29 |
Discriminant |
Eigenvalues |
2+ -1 -2 7- 0 0 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-359,-3107] |
[a1,a2,a3,a4,a6] |
j |
-681472/203 |
j-invariant |
L |
1.0799760159847 |
L(r)(E,1)/r! |
Ω |
0.5399880174767 |
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 |
90944s1 45472s1 12992n1 |
Quadratic twists by: -4 8 -7 |