Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712h |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
124001263812608 = 219 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 2 0 7+ 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113793,14803073] |
[a1,a2,a3,a4,a6] |
Generators |
[3099:48608:27] |
Generators of the group modulo torsion |
j |
128787625/98 |
j-invariant |
L |
9.6267345100615 |
L(r)(E,1)/r! |
Ω |
0.58285969021645 |
Real period |
R |
4.1290960200038 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001753 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75712cy2 2366j2 448c2 |
Quadratic twists by: -4 8 13 |