Atkin-Lehner |
2- 3- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
90816cc |
Isogeny class |
Conductor |
90816 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
2316640601088 = 210 · 314 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11+ 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9113,-329793] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:27:1] |
Generators of the group modulo torsion |
j |
81743931616000/2262344337 |
j-invariant |
L |
8.9299233027295 |
L(r)(E,1)/r! |
Ω |
0.4894568267298 |
Real period |
R |
1.3031826898679 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90816s1 22704ba1 |
Quadratic twists by: -4 8 |