Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360f |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.13133306938E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16303496,-22356946704] |
[a1,a2,a3,a4,a6] |
j |
117005429346029041260169/14969074876416000000 |
j-invariant |
L |
1.2122481319846 |
L(r)(E,1)/r! |
Ω |
0.075765508249035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2670b3 85440bq3 64080bj3 106800bw3 |
Quadratic twists by: -4 8 -3 5 |