Atkin-Lehner |
2- 3+ 43- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
72756a |
Isogeny class |
Conductor |
72756 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1405961098992 = -1 · 24 · 39 · 43 · 473 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 3 -4 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2295,-38259] |
[a1,a2,a3,a4,a6] |
Generators |
[3468:41615:27] |
Generators of the group modulo torsion |
j |
4244832000/4464389 |
j-invariant |
L |
6.7029544614007 |
L(r)(E,1)/r! |
Ω |
0.46251492706877 |
Real period |
R |
7.2462033859623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000348 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72756b1 |
Quadratic twists by: -3 |