Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
20400dm |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-943296000000 = -1 · 212 · 3 · 56 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 3 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23733,1400163] |
[a1,a2,a3,a4,a6] |
j |
-23100424192/14739 |
j-invariant |
L |
2.6197915318668 |
L(r)(E,1)/r! |
Ω |
0.8732638439556 |
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 |
1275a2 81600gt2 61200fc2 816f2 |
Quadratic twists by: -4 8 -3 5 |