Atkin-Lehner |
2+ 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74256t |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4440029997312 = 28 · 36 · 72 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202644,-35043840] |
[a1,a2,a3,a4,a6] |
j |
3594902683578163792/17343867177 |
j-invariant |
L |
1.8001390250151 |
L(r)(E,1)/r! |
Ω |
0.22501738041045 |
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 |
37128be1 |
Quadratic twists by: -4 |