Atkin-Lehner |
2- 3- 31- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32922k |
Isogeny class |
Conductor |
32922 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
528000 |
Modular degree for the optimal curve |
Δ |
-71270023368278016 = -1 · 225 · 39 · 31 · 592 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -3 -7 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,88771,7809797] |
[a1,a2,a3,a4,a6] |
Generators |
[231:-6488:1] [-5:2716:1] |
Generators of the group modulo torsion |
j |
106124121207285623/97764092411904 |
j-invariant |
L |
9.9206643169244 |
L(r)(E,1)/r! |
Ω |
0.22630166340285 |
Real period |
R |
0.21919114883539 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10974f1 |
Quadratic twists by: -3 |