Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
68400be |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
7012068750000000000 = 210 · 310 · 514 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-513075,61465250] |
[a1,a2,a3,a4,a6] |
j |
1280615525284/601171875 |
j-invariant |
L |
1.6870632533524 |
L(r)(E,1)/r! |
Ω |
0.21088290824669 |
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 |
34200z3 22800a3 13680g3 |
Quadratic twists by: -4 -3 5 |