Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150bt |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
24509034000000000 = 210 · 33 · 59 · 114 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163513,24241031] |
[a1,a2,a3,a4,a6] |
Generators |
[19:4588:1] |
Generators of the group modulo torsion |
j |
247543028075069/12548625408 |
j-invariant |
L |
9.0776750117358 |
L(r)(E,1)/r! |
Ω |
0.3733925634598 |
Real period |
R |
2.4311343877935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51150ba1 |
Quadratic twists by: 5 |