Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870f |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
38080 |
Modular degree for the optimal curve |
Δ |
6661069360 = 24 · 5 · 116 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11- 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1333,-18883] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:31:1] |
Generators of the group modulo torsion |
j |
148035889/3760 |
j-invariant |
L |
3.4837375006734 |
L(r)(E,1)/r! |
Ω |
0.79126572571255 |
Real period |
R |
2.2013701513003 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
470e1 |
Quadratic twists by: -11 |