Atkin-Lehner |
2+ 3- 5+ 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
80370n |
Isogeny class |
Conductor |
80370 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1396578769137079200 = 25 · 37 · 52 · 198 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5438835,-4880412459] |
[a1,a2,a3,a4,a6] |
j |
24406970695012863232561/1915745911024800 |
j-invariant |
L |
1.581776512618 |
L(r)(E,1)/r! |
Ω |
0.098861028751879 |
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 |
26790y4 |
Quadratic twists by: -3 |