Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504j |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
512 |
Modular degree for the optimal curve |
Δ |
6054912 = 210 · 34 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:12:1] |
Generators of the group modulo torsion |
j |
12194500/5913 |
j-invariant |
L |
3.7780519380637 |
L(r)(E,1)/r! |
Ω |
2.1257814406788 |
Real period |
R |
0.444313308246 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1752a1 14016bk1 10512h1 87600e1 |
Quadratic twists by: -4 8 -3 5 |