Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880cf |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1832113930240000 = 226 · 54 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-94348,-10962672] |
[a1,a2,a3,a4,a6] |
Generators |
[60145:927333:125] |
Generators of the group modulo torsion |
j |
354308756121081/6988960000 |
j-invariant |
L |
3.8382683572197 |
L(r)(E,1)/r! |
Ω |
0.27273251980388 |
Real period |
R |
7.0366899404831 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000033 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66880l2 16720bi2 |
Quadratic twists by: -4 8 |