Atkin-Lehner |
2- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880cz |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
57253560320 = 218 · 5 · 112 · 192 |
Discriminant |
Eigenvalues |
2- -2 5- 2 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1985,-32705] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:44:1] |
Generators of the group modulo torsion |
j |
3301293169/218405 |
j-invariant |
L |
3.8004432859133 |
L(r)(E,1)/r! |
Ω |
0.7181947260821 |
Real period |
R |
2.6458306834091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880bv2 16720z2 |
Quadratic twists by: -4 8 |