Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360du |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6875554223314022400 = 212 · 32 · 52 · 714 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10388016,-12882777984] |
[a1,a2,a3,a4,a6] |
Generators |
[5698:335994:1] |
Generators of the group modulo torsion |
j |
257260669489908001/14267882475 |
j-invariant |
L |
5.5416811709261 |
L(r)(E,1)/r! |
Ω |
0.084094548645453 |
Real period |
R |
8.2372773898268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000320493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8085p5 18480df5 |
Quadratic twists by: -4 -7 |