Atkin-Lehner |
2+ 3- 5- 47- |
Signs for the Atkin-Lehner involutions |
Class |
84600ba |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1855135872000 = -1 · 210 · 38 · 53 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1155,-67250] |
[a1,a2,a3,a4,a6] |
j |
-1826132/19881 |
j-invariant |
L |
2.8369133868269 |
L(r)(E,1)/r! |
Ω |
0.35461418282729 |
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 |
28200z2 84600cb2 |
Quadratic twists by: -3 5 |