Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22800k |
Isogeny class |
Conductor |
22800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4389945247872000 = 210 · 36 · 53 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66328,-5728448] |
[a1,a2,a3,a4,a6] |
j |
252122146858292/34296447249 |
j-invariant |
L |
2.4013832017901 |
L(r)(E,1)/r! |
Ω |
0.30017290022377 |
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 |
11400bo2 91200je2 68400ck2 22800bj2 |
Quadratic twists by: -4 8 -3 5 |