Atkin-Lehner |
2+ 3+ 7+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89838b |
Isogeny class |
Conductor |
89838 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2757888 |
Modular degree for the optimal curve |
Δ |
-1.2792348685769E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 2 1 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-543963,565790117] |
[a1,a2,a3,a4,a6] |
j |
-659277839481124815531/4737906920655258112 |
j-invariant |
L |
1.9115005920024 |
L(r)(E,1)/r! |
Ω |
0.15929172319643 |
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 |
89838n1 |
Quadratic twists by: -3 |