Atkin-Lehner |
2- 3+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
73920gc |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
33522447974400 = 215 · 312 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11- -6 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83105,-9189375] |
[a1,a2,a3,a4,a6] |
Generators |
[-165:60:1] |
Generators of the group modulo torsion |
j |
1937137571498312/1023023925 |
j-invariant |
L |
5.5949010219845 |
L(r)(E,1)/r! |
Ω |
0.28119403044954 |
Real period |
R |
2.4871176199857 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hn4 36960t4 |
Quadratic twists by: -4 8 |