Atkin-Lehner |
2- 3+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072h |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-185044992 = -1 · 212 · 3 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,127,-399] |
[a1,a2,a3,a4,a6] |
Generators |
[7:28:1] [595:14504:1] |
Generators of the group modulo torsion |
j |
54872000/45177 |
j-invariant |
L |
7.5843377227316 |
L(r)(E,1)/r! |
Ω |
0.99504792691061 |
Real period |
R |
7.6220828340191 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072f2 78144bo1 117216l2 |
Quadratic twists by: -4 8 -3 |