Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920hv |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2503581696000 = 216 · 34 · 53 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40245345,-98283561057] |
[a1,a2,a3,a4,a6] |
Generators |
[-86592941442:3721005:23639903] |
Generators of the group modulo torsion |
j |
109999511474021786850916/38201625 |
j-invariant |
L |
7.8683846260314 |
L(r)(E,1)/r! |
Ω |
0.059940538474826 |
Real period |
R |
10.939152959042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920br4 18480c3 |
Quadratic twists by: -4 8 |