Atkin-Lehner |
2- 3- 5- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010br |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-120886884270 = -1 · 2 · 312 · 5 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,553,-16099] |
[a1,a2,a3,a4,a6] |
j |
25698491351/165825630 |
j-invariant |
L |
2.0914016616022 |
L(r)(E,1)/r! |
Ω |
0.52285045063649 |
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 |
29670m1 |
Quadratic twists by: -3 |