Atkin-Lehner |
3- 5- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
35955j |
Isogeny class |
Conductor |
35955 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
288732694921875 = 39 · 58 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3- 5- 0 6 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-16524,12393] |
[a1,a2,a3,a4,a6] |
j |
684473323370689/396066796875 |
j-invariant |
L |
3.7052182989404 |
L(r)(E,1)/r! |
Ω |
0.46315228737193 |
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 |
11985e2 |
Quadratic twists by: -3 |