Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298p |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
111830794371648 = 26 · 37 · 117 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27792,1716160] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:1880:1] |
Generators of the group modulo torsion |
j |
1838265625/86592 |
j-invariant |
L |
5.2194901432913 |
L(r)(E,1)/r! |
Ω |
0.58589780304567 |
Real period |
R |
4.454266689678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015265 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29766bi1 8118r1 |
Quadratic twists by: -3 -11 |