Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400v |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-11058224328000000 = -1 · 29 · 314 · 56 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-100875,13329250] |
[a1,a2,a3,a4,a6] |
j |
-19465109000/1896129 |
j-invariant |
L |
1.5781609036177 |
L(r)(E,1)/r! |
Ω |
0.39454049870412 |
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 |
122400cw2 40800bt2 4896p2 |
Quadratic twists by: -4 -3 5 |