Atkin-Lehner |
2- 3+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
83544f |
Isogeny class |
Conductor |
83544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38062080 |
Modular degree for the optimal curve |
Δ |
5.5629496010925E+26 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 2 -2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391794672,-2760695215092] |
[a1,a2,a3,a4,a6] |
Generators |
[-1044290034442438090975085312507161006174497706421724254950722351:40082491585769642897060253382147683499157618862175012700742810276:86971299038484047540960132567961027616990753460644993094669] |
Generators of the group modulo torsion |
j |
6354029426/531441 |
j-invariant |
L |
6.596224815069 |
L(r)(E,1)/r! |
Ω |
0.034114568457645 |
Real period |
R |
96.677535629075 |
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 |
83544b1 |
Quadratic twists by: -59 |