Atkin-Lehner |
2+ 5+ 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
20470a |
Isogeny class |
Conductor |
20470 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-3242857400 = -1 · 23 · 52 · 23 · 893 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 -3 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1174,15616] |
[a1,a2,a3,a4,a6] |
j |
-178729452099289/3242857400 |
j-invariant |
L |
0.94499405685553 |
L(r)(E,1)/r! |
Ω |
1.4174910852833 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
102350x1 |
Quadratic twists by: 5 |