Atkin-Lehner |
2- 3- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
36378i |
Isogeny class |
Conductor |
36378 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
Δ |
135303261319028736 = 213 · 37 · 434 · 472 |
Discriminant |
Eigenvalues |
2- 3- 2 4 2 -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1163354,-482349927] |
[a1,a2,a3,a4,a6] |
j |
238853437628830220377/185601181507584 |
j-invariant |
L |
7.5595372905159 |
L(r)(E,1)/r! |
Ω |
0.14537571712514 |
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 |
12126a2 |
Quadratic twists by: -3 |