Atkin-Lehner |
2+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
129800b |
Isogeny class |
Conductor |
129800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20127744 |
Modular degree for the optimal curve |
Δ |
8226582031250000 = 24 · 513 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 0 5+ -2 11+ 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2266275950,41525732176625] |
[a1,a2,a3,a4,a6] |
Generators |
[25084756780:-17840125:912673] |
Generators of the group modulo torsion |
j |
5148990298172231522059659264/32906328125 |
j-invariant |
L |
4.6617004035357 |
L(r)(E,1)/r! |
Ω |
0.13787809693897 |
Real period |
R |
8.4525757885392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000316861 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25960c1 |
Quadratic twists by: 5 |