Atkin-Lehner |
2- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900l |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-24147200 = -1 · 28 · 52 · 73 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11+ -6 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,12,232] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:14:1] |
Generators of the group modulo torsion |
j |
80/11 |
j-invariant |
L |
3.8044554503512 |
L(r)(E,1)/r! |
Ω |
1.6387853193898 |
Real period |
R |
0.3869182258896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900be1 53900k1 |
Quadratic twists by: 5 -7 |