Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400ct |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
-561816000000000 = -1 · 212 · 35 · 59 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 -6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1208,1140912] |
[a1,a2,a3,a4,a6] |
j |
-24389/70227 |
j-invariant |
L |
1.6648523003502 |
L(r)(E,1)/r! |
Ω |
0.41621307508754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1275g1 81600jz1 61200gw1 20400du1 |
Quadratic twists by: -4 8 -3 5 |