Atkin-Lehner |
3- 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
74415k |
Isogeny class |
Conductor |
74415 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7433921854637685 = 33 · 5 · 117 · 414 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-962558,-363542929] |
[a1,a2,a3,a4,a6] |
Generators |
[1652424:88074743:512] |
Generators of the group modulo torsion |
j |
55673391220006321/4196255085 |
j-invariant |
L |
10.670348382324 |
L(r)(E,1)/r! |
Ω |
0.15242101378687 |
Real period |
R |
11.667626089266 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000235 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6765f4 |
Quadratic twists by: -11 |