Atkin-Lehner |
2- 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
2832g |
Isogeny class |
Conductor |
2832 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
19950930543771648 = 234 · 39 · 59 |
Discriminant |
Eigenvalues |
2- 3- 4 0 4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376176,88418772] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
3.4778715671647 |
L(r)(E,1)/r! |
Ω |
0.38643017412941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
354e1 11328n1 8496t1 70800bb1 |
Quadratic twists by: -4 8 -3 5 |