Atkin-Lehner |
2+ 3+ 5+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36120b |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
-201025498800 = -1 · 24 · 3 · 52 · 72 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,609,20580] |
[a1,a2,a3,a4,a6] |
j |
1558627321856/12564093675 |
j-invariant |
L |
1.466166430463 |
L(r)(E,1)/r! |
Ω |
0.73308321523368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
72240t1 108360bq1 |
Quadratic twists by: -4 -3 |