Atkin-Lehner |
2- 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gn |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
111075574579200 = 215 · 33 · 52 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9878561,-11953864065] |
[a1,a2,a3,a4,a6] |
j |
3253530474880969711688/3389757525 |
j-invariant |
L |
2.0437951648976 |
L(r)(E,1)/r! |
Ω |
0.085158132631154 |
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 |
73920ep4 36960j4 |
Quadratic twists by: -4 8 |