Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880ch |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
447293440000 = 214 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1948,7728] |
[a1,a2,a3,a4,a6] |
Generators |
[53:231:1] |
Generators of the group modulo torsion |
j |
49896562896/27300625 |
j-invariant |
L |
4.9664888997389 |
L(r)(E,1)/r! |
Ω |
0.81724034617286 |
Real period |
R |
3.038572999264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66880c2 16720m2 |
Quadratic twists by: -4 8 |