Atkin-Lehner |
2+ 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
47450p |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
281400 |
Modular degree for the optimal curve |
Δ |
-1355219450000000 = -1 · 27 · 58 · 135 · 73 |
Discriminant |
Eigenvalues |
2+ 1 5- 4 1 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-32076,-2835702] |
[a1,a2,a3,a4,a6] |
j |
-9342967295065/3469361792 |
j-invariant |
L |
2.6269039601228 |
L(r)(E,1)/r! |
Ω |
0.17512693064317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47450s1 |
Quadratic twists by: 5 |