Atkin-Lehner |
2- 5+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
65450ba |
Isogeny class |
Conductor |
65450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
89993750000 = 24 · 58 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-253838,-49330469] |
[a1,a2,a3,a4,a6] |
Generators |
[20073:345649:27] |
Generators of the group modulo torsion |
j |
115764048064464409/5759600 |
j-invariant |
L |
14.666315466342 |
L(r)(E,1)/r! |
Ω |
0.21269652167586 |
Real period |
R |
8.6192732200444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000084 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13090a2 |
Quadratic twists by: 5 |