Atkin-Lehner |
2+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
67270d |
Isogeny class |
Conductor |
67270 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
566092800 |
Modular degree for the optimal curve |
Δ |
4.4722520618478E+31 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ 5 -1 4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17101360360,798392935825216] |
[a1,a2,a3,a4,a6] |
j |
623225944950388227633972249/50391363524359094272000 |
j-invariant |
L |
0.98832683588881 |
L(r)(E,1)/r! |
Ω |
0.019766536996345 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2170b1 |
Quadratic twists by: -31 |