Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810db |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
Δ |
2516556437163216000 = 27 · 33 · 53 · 73 · 198 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2040171111,-35469093221559] |
[a1,a2,a3,a4,a6] |
j |
55296123367985268658129/148176000 |
j-invariant |
L |
4.245655081426 |
L(r)(E,1)/r! |
Ω |
0.022463783573255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810n2 |
Quadratic twists by: -19 |