Atkin-Lehner |
2- 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298bo |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
3981154189597212672 = 224 · 33 · 118 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 11- -4 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-467930,77338649] |
[a1,a2,a3,a4,a6] |
Generators |
[-393:14353:1] |
Generators of the group modulo torsion |
j |
1957763671875/687865856 |
j-invariant |
L |
8.8327447685906 |
L(r)(E,1)/r! |
Ω |
0.22717146109377 |
Real period |
R |
2.4300875858197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010514 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89298g2 89298f1 |
Quadratic twists by: -3 -11 |