Atkin-Lehner |
2- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384j |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-1.2868218085477E+21 |
Discriminant |
Eigenvalues |
2- -1 2 4 11+ 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2700048,249299392] |
[a1,a2,a3,a4,a6] |
Generators |
[1567366430566:95968003675726:1416247867] |
Generators of the group modulo torsion |
j |
531469147186913624207/314165480602468352 |
j-invariant |
L |
7.3875689225338 |
L(r)(E,1)/r! |
Ω |
0.093097218599153 |
Real period |
R |
19.838318033813 |
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 |
12298b1 |
Quadratic twists by: -4 |