Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
29040k |
Isogeny class |
Conductor |
29040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-51446131440 = -1 · 24 · 3 · 5 · 118 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 2 1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,444,10155] |
[a1,a2,a3,a4,a6] |
j |
2816/15 |
j-invariant |
L |
0.81043975910579 |
L(r)(E,1)/r! |
Ω |
0.81043975910777 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bn1 116160jo1 87120co1 29040i1 |
Quadratic twists by: -4 8 -3 -11 |