Atkin-Lehner |
5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
21175c |
Isogeny class |
Conductor |
21175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.7629918954315E+22 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6529525,-660089250] |
[a1,a2,a3,a4,a6] |
Generators |
[4788914371394670:536511552628130790:363841426619] |
Generators of the group modulo torsion |
j |
835630707059/478515625 |
j-invariant |
L |
8.4844841649414 |
L(r)(E,1)/r! |
Ω |
0.1024111932215 |
Real period |
R |
20.711808685285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235c2 21175n2 |
Quadratic twists by: 5 -11 |