Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920eb |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-9218673192960000 = -1 · 215 · 312 · 54 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,11839,-4596735] |
[a1,a2,a3,a4,a6] |
Generators |
[193:2200:1] [721:19448:1] |
Generators of the group modulo torsion |
j |
5599924283512/281331579375 |
j-invariant |
L |
8.615997985932 |
L(r)(E,1)/r! |
Ω |
0.1964598263693 |
Real period |
R |
5.4820355292749 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000091 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920gy3 36960bt2 |
Quadratic twists by: -4 8 |