Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
20700r |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1023376464843750000 = -1 · 24 · 36 · 518 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 6 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,93075,47428625] |
[a1,a2,a3,a4,a6] |
j |
489277573376/5615234375 |
j-invariant |
L |
3.6792643665645 |
L(r)(E,1)/r! |
Ω |
0.20440357592025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800do2 2300a2 4140f2 |
Quadratic twists by: -4 -3 5 |