Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360hr |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3911846400000000 = 215 · 34 · 58 · 73 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39440,-197100] |
[a1,a2,a3,a4,a6] |
Generators |
[370:-6000:1] |
Generators of the group modulo torsion |
j |
4829379946327/2784375000 |
j-invariant |
L |
8.9588465053223 |
L(r)(E,1)/r! |
Ω |
0.36922079469621 |
Real period |
R |
0.37912809764045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999387914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16170bu2 129360dz2 |
Quadratic twists by: -4 -7 |