Atkin-Lehner |
2+ 5+ 7- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
35350h |
Isogeny class |
Conductor |
35350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
227632127187500000 = 25 · 510 · 7 · 1014 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-162692,-10496784] |
[a1,a2,a3,a4,a6] |
j |
30479215304939409/14568456140000 |
j-invariant |
L |
0.49844040104027 |
L(r)(E,1)/r! |
Ω |
0.24922020051746 |
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 |
7070e4 |
Quadratic twists by: 5 |