Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
11064936960000 = 212 · 36 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6105,-87975] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:280:1] |
Generators of the group modulo torsion |
j |
6144575778496/2701400625 |
j-invariant |
L |
5.5949010219845 |
L(r)(E,1)/r! |
Ω |
0.56238806089907 |
Real period |
R |
1.2435588099928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999746 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920hn2 36960t1 |
Quadratic twists by: -4 8 |