Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896s |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
1.6699848579946E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1643108,-520764288] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:9882:1] |
Generators of the group modulo torsion |
j |
12663250000/4310577 |
j-invariant |
L |
9.7441648926909 |
L(r)(E,1)/r! |
Ω |
0.13702763416327 |
Real period |
R |
3.5555473532038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752h2 |
Quadratic twists by: 73 |