Atkin-Lehner |
2- 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48642bc |
Isogeny class |
Conductor |
48642 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-37380248894736 = -1 · 24 · 39 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 1 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-17487,-938871] |
[a1,a2,a3,a4,a6] |
Generators |
[252:-3393:1] |
Generators of the group modulo torsion |
j |
-333822098953/21100176 |
j-invariant |
L |
10.153949803546 |
L(r)(E,1)/r! |
Ω |
0.20682629450738 |
Real period |
R |
0.68186243408177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999927 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
402d1 |
Quadratic twists by: -11 |