Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
86240h |
Isogeny class |
Conductor |
86240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
318180120473600 = 212 · 52 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75068,7869792] |
[a1,a2,a3,a4,a6] |
Generators |
[56:1960:1] |
Generators of the group modulo torsion |
j |
97082300736/660275 |
j-invariant |
L |
4.0239364276933 |
L(r)(E,1)/r! |
Ω |
0.54618211516815 |
Real period |
R |
1.8418473992955 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999985677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86240x3 12320c2 |
Quadratic twists by: -4 -7 |