Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bx |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
34239350073600 = 28 · 310 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9327,202354] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:648:1] |
Generators of the group modulo torsion |
j |
480819584464/183467025 |
j-invariant |
L |
8.8786117684009 |
L(r)(E,1)/r! |
Ω |
0.59657903697382 |
Real period |
R |
1.8603175797073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007955 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
36120o2 |
Quadratic twists by: -3 |