Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21450co |
Isogeny class |
Conductor |
21450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.5828470001017E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1648713,-257164083] |
[a1,a2,a3,a4,a6] |
j |
31720417118313330889/16530220800650700 |
j-invariant |
L |
6.7725459051282 |
L(r)(E,1)/r! |
Ω |
0.14109470635684 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350ba3 4290e4 |
Quadratic twists by: -3 5 |