Atkin-Lehner |
2- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128800ba |
Isogeny class |
Conductor |
128800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-207368000000000 = -1 · 212 · 59 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 6 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,11300,-516000] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2436:1] |
Generators of the group modulo torsion |
j |
2493326016/3240125 |
j-invariant |
L |
7.8655378039535 |
L(r)(E,1)/r! |
Ω |
0.30062515952028 |
Real period |
R |
3.2704921083241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128800b2 25760a2 |
Quadratic twists by: -4 5 |