Atkin-Lehner |
2- 3- 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
107184ct |
Isogeny class |
Conductor |
107184 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6667702272 = 212 · 36 · 7 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138910464,-630205905420] |
[a1,a2,a3,a4,a6] |
Generators |
[13644:120978:1] |
Generators of the group modulo torsion |
j |
72371679832051361738355457/1627857 |
j-invariant |
L |
8.1982458448107 |
L(r)(E,1)/r! |
Ω |
0.043976009109679 |
Real period |
R |
7.7677256938713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000116155 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6699d4 |
Quadratic twists by: -4 |