Atkin-Lehner |
2- 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
26344b |
Isogeny class |
Conductor |
26344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64320 |
Modular degree for the optimal curve |
Δ |
140614011749632 = 28 · 375 · 892 |
Discriminant |
Eigenvalues |
2- 1 0 3 -3 -4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34993,-2465789] |
[a1,a2,a3,a4,a6] |
j |
18511418015872000/549273483397 |
j-invariant |
L |
1.3987862390214 |
L(r)(E,1)/r! |
Ω |
0.34969655975527 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52688a1 |
Quadratic twists by: -4 |