Atkin-Lehner |
2+ 3+ 5+ 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010c |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
497280 |
Modular degree for the optimal curve |
Δ |
-996684134400000 = -1 · 214 · 39 · 55 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -3 4 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-12705,-1612675] |
[a1,a2,a3,a4,a6] |
j |
-11523267816003/50636800000 |
j-invariant |
L |
0.81704407673067 |
L(r)(E,1)/r! |
Ω |
0.20426101314882 |
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 |
89010bg1 |
Quadratic twists by: -3 |