Atkin-Lehner |
2+ 3+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
90816t |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
1142729736192 = 228 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4993,-124031] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:24:1] |
Generators of the group modulo torsion |
j |
52523718625/4359168 |
j-invariant |
L |
3.6465862786827 |
L(r)(E,1)/r! |
Ω |
0.57093685380844 |
Real period |
R |
3.1935110295398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974408 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90816cd1 2838d1 |
Quadratic twists by: -4 8 |