Atkin-Lehner |
2- 5+ 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86480d |
Isogeny class |
Conductor |
86480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
203677696000 = 216 · 53 · 232 · 47 |
Discriminant |
Eigenvalues |
2- 1 5+ 1 1 -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1896,22580] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:230:1] |
Generators of the group modulo torsion |
j |
184122897769/49726000 |
j-invariant |
L |
6.6744921366143 |
L(r)(E,1)/r! |
Ω |
0.93605317113141 |
Real period |
R |
1.7826156509402 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007087 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810a1 |
Quadratic twists by: -4 |