Atkin-Lehner |
2+ 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
100800im |
Isogeny class |
Conductor |
100800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
122472000000000 = 212 · 37 · 59 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124500,16900000] |
[a1,a2,a3,a4,a6] |
j |
36594368/21 |
j-invariant |
L |
2.3252669251159 |
L(r)(E,1)/r! |
Ω |
0.58131675063137 |
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 |
100800hj2 50400cc1 33600eb2 100800hh2 |
Quadratic twists by: -4 8 -3 5 |