Atkin-Lehner |
2- 3- 5- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
26790z |
Isogeny class |
Conductor |
26790 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
202368 |
Modular degree for the optimal curve |
Δ |
690373043159040 = 234 · 32 · 5 · 19 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-131165,-18251343] |
[a1,a2,a3,a4,a6] |
j |
249561627864887514961/690373043159040 |
j-invariant |
L |
4.2654629982769 |
L(r)(E,1)/r! |
Ω |
0.25090958813397 |
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 |
80370l1 |
Quadratic twists by: -3 |