Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472s |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
-336669696 = -1 · 210 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,1118] |
[a1,a2,a3,a4,a6] |
Generators |
[19:72:1] |
Generators of the group modulo torsion |
j |
-470596/451 |
j-invariant |
L |
6.3034097154052 |
L(r)(E,1)/r! |
Ω |
1.55928543792 |
Real period |
R |
1.0106247326682 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64944n1 3608b1 |
Quadratic twists by: -4 -3 |