Atkin-Lehner |
2- 3- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
27072ch |
Isogeny class |
Conductor |
27072 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-11367641088 = -1 · 212 · 310 · 47 |
Discriminant |
Eigenvalues |
2- 3- -4 0 2 4 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,4480] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
1560896/3807 |
j-invariant |
L |
4.1859494281475 |
L(r)(E,1)/r! |
Ω |
0.88999084740795 |
Real period |
R |
1.1758405831753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27072cs1 13536j1 9024bx1 |
Quadratic twists by: -4 8 -3 |