Atkin-Lehner |
2+ 3+ 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
124080d |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1989995040000 = 28 · 37 · 54 · 112 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11- 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548116,-156008720] |
[a1,a2,a3,a4,a6] |
j |
71138053589712648784/7773418125 |
j-invariant |
L |
3.1583034586379 |
L(r)(E,1)/r! |
Ω |
0.17546131164811 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62040h2 |
Quadratic twists by: -4 |