Atkin-Lehner |
2- 3+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
66576q |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1244172288 = 212 · 3 · 19 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 -6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4888,133168] |
[a1,a2,a3,a4,a6] |
Generators |
[42:14:1] |
Generators of the group modulo torsion |
j |
3153887529625/303753 |
j-invariant |
L |
5.1071685416465 |
L(r)(E,1)/r! |
Ω |
1.4680995030001 |
Real period |
R |
1.7393809242043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161f2 |
Quadratic twists by: -4 |