Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32472x |
Isogeny class |
Conductor |
32472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-3834878256 = -1 · 24 · 312 · 11 · 41 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 11- 6 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-44994,3673501] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-9:1] |
Generators of the group modulo torsion |
j |
-863654446077952/328779 |
j-invariant |
L |
3.5503654917392 |
L(r)(E,1)/r! |
Ω |
1.1315444447196 |
Real period |
R |
0.78440699088466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64944s1 10824g1 |
Quadratic twists by: -4 -3 |