Atkin-Lehner |
2+ 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
36414s |
Isogeny class |
Conductor |
36414 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
234523323811728 = 24 · 36 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-48606,-4046140] |
[a1,a2,a3,a4,a6] |
j |
721734273/13328 |
j-invariant |
L |
1.2875780952816 |
L(r)(E,1)/r! |
Ω |
0.32189452382957 |
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 |
4046i1 2142h1 |
Quadratic twists by: -3 17 |