Atkin-Lehner |
2+ 3- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
52896b |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
3067968 = 26 · 3 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -4 -4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38,-48] |
[a1,a2,a3,a4,a6] |
j |
97336000/47937 |
j-invariant |
L |
2.0176244027205 |
L(r)(E,1)/r! |
Ω |
2.0176244009386 |
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 |
52896a1 105792bk1 |
Quadratic twists by: -4 8 |