Atkin-Lehner |
2+ 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127600b |
Isogeny class |
Conductor |
127600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1069762512500000000 = 28 · 511 · 112 · 294 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11+ 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-339575,-57660250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1018355:855700:2197] |
Generators of the group modulo torsion |
j |
1082607044955984/267440628125 |
j-invariant |
L |
7.3638877757682 |
L(r)(E,1)/r! |
Ω |
0.20134562065341 |
Real period |
R |
9.1433424372237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999243475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63800k2 25520a2 |
Quadratic twists by: -4 5 |