Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
12834k |
Isogeny class |
Conductor |
12834 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-1.9388314884319E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-721634,-2131417375] |
[a1,a2,a3,a4,a6] |
Generators |
[2445:102295:1] |
Generators of the group modulo torsion |
j |
-57009414456430203097/2659576801689796608 |
j-invariant |
L |
7.4718561318176 |
L(r)(E,1)/r! |
Ω |
0.064725538510148 |
Real period |
R |
3.6074710152113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672cj1 4278h1 |
Quadratic twists by: -4 -3 |