Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920ck |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-69120743266713600 = -1 · 217 · 35 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20641,12693695] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:3696:1] |
Generators of the group modulo torsion |
j |
-7420395059282/527349420675 |
j-invariant |
L |
7.2089250706957 |
L(r)(E,1)/r! |
Ω |
0.28628622084799 |
Real period |
R |
0.20984026200541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996421 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920et2 9240f2 |
Quadratic twists by: -4 8 |