Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
72072bn |
Isogeny class |
Conductor |
72072 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
253444782476261376 = 211 · 310 · 7 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165819,9422390] |
[a1,a2,a3,a4,a6] |
Generators |
[382:1350:1] |
Generators of the group modulo torsion |
j |
337729585262834/169756289703 |
j-invariant |
L |
8.500320187692 |
L(r)(E,1)/r! |
Ω |
0.27548328731278 |
Real period |
R |
5.1426714302793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24024d2 |
Quadratic twists by: -3 |