Atkin-Lehner |
2- 3+ 37- 61- |
Signs for the Atkin-Lehner involutions |
Class |
54168f |
Isogeny class |
Conductor |
54168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-422520800256 = -1 · 210 · 34 · 372 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 6 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,976,-29316] |
[a1,a2,a3,a4,a6] |
j |
100306287932/412617969 |
j-invariant |
L |
1.9111751709378 |
L(r)(E,1)/r! |
Ω |
0.47779379261554 |
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 |
108336g2 |
Quadratic twists by: -4 |