Atkin-Lehner |
2+ 3- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127296bf |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1966080 |
Modular degree for the optimal curve |
Δ |
15681098596220928 = 218 · 36 · 136 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 6 13- 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-422028,-105354000] |
[a1,a2,a3,a4,a6] |
Generators |
[-47820:41184:125] |
Generators of the group modulo torsion |
j |
43499078731809/82055753 |
j-invariant |
L |
9.9135417869876 |
L(r)(E,1)/r! |
Ω |
0.18733263921873 |
Real period |
R |
4.4099548446726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296df1 1989b1 14144m1 |
Quadratic twists by: -4 8 -3 |