Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
3504x |
Isogeny class |
Conductor |
3504 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4187491024896 = -1 · 214 · 32 · 734 |
Discriminant |
Eigenvalues |
2- 3- -2 4 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1296,97236] |
[a1,a2,a3,a4,a6] |
j |
58727785103/1022336676 |
j-invariant |
L |
2.3221200314579 |
L(r)(E,1)/r! |
Ω |
0.58053000786449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
438f4 14016bo4 10512v4 87600bh3 |
Quadratic twists by: -4 8 -3 5 |