Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47600w |
Isogeny class |
Conductor |
47600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
852992000000 = 216 · 56 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7475,-244750] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:42:1] |
Generators of the group modulo torsion |
j |
721734273/13328 |
j-invariant |
L |
5.5224953955946 |
L(r)(E,1)/r! |
Ω |
0.51402433347289 |
Real period |
R |
2.6859114617453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5950a1 1904c1 |
Quadratic twists by: -4 5 |