Atkin-Lehner |
2- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
45632v |
Isogeny class |
Conductor |
45632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.061658872908E+20 |
Discriminant |
Eigenvalues |
2- -2 0 4 0 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1201953,-107628449] |
[a1,a2,a3,a4,a6] |
Generators |
[-253610:4491509:2744] |
Generators of the group modulo torsion |
j |
732565747951719625/404990719950848 |
j-invariant |
L |
4.7143629862144 |
L(r)(E,1)/r! |
Ω |
0.15439406371629 |
Real period |
R |
10.178204335798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45632d3 11408h3 |
Quadratic twists by: -4 8 |