Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920hn |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
384 |
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 |
[135:-1320:1] [-75:360:1] |
Generators of the group modulo torsion |
j |
6144575778496/2701400625 |
j-invariant |
L |
12.56194912866 |
L(r)(E,1)/r! |
Ω |
0.64684651034064 |
Real period |
R |
0.80917889895979 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998866 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73920gc2 36960g1 |
Quadratic twists by: -4 8 |