Atkin-Lehner |
2+ 3- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064k |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
725539511043072 = 210 · 315 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-647931,200739206] |
[a1,a2,a3,a4,a6] |
j |
40297908315119332/971926857 |
j-invariant |
L |
1.8790325963719 |
L(r)(E,1)/r! |
Ω |
0.46975814901447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128g1 17688e1 |
Quadratic twists by: -4 -3 |