Atkin-Lehner |
2- 3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600bl |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
23328900000000 = 28 · 32 · 58 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7908,-136188] |
[a1,a2,a3,a4,a6] |
Generators |
[-72:234:1] [-64:322:1] |
Generators of the group modulo torsion |
j |
13674725584/5832225 |
j-invariant |
L |
9.5833551511779 |
L(r)(E,1)/r! |
Ω |
0.52607913114954 |
Real period |
R |
2.2770707351364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999219 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19320j2 |
Quadratic twists by: 5 |