Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360l |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
16668278410291200 = 211 · 33 · 52 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9880376,-11950569840] |
[a1,a2,a3,a4,a6] |
Generators |
[-1814:22:1] [5808:355740:1] |
Generators of the group modulo torsion |
j |
442716776803843922/69178725 |
j-invariant |
L |
10.042348125132 |
L(r)(E,1)/r! |
Ω |
0.08515422232168 |
Real period |
R |
7.3707062397124 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000263 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680x4 18480x4 |
Quadratic twists by: -4 -7 |