Atkin-Lehner |
2- 3+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36432r |
Isogeny class |
Conductor |
36432 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
7506190467072 = 216 · 39 · 11 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52947,-4687470] |
[a1,a2,a3,a4,a6] |
j |
203608800387/93104 |
j-invariant |
L |
1.2589576622007 |
L(r)(E,1)/r! |
Ω |
0.31473941555626 |
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 |
4554e1 36432bf1 |
Quadratic twists by: -4 -3 |