Atkin-Lehner |
11- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
120263d |
Isogeny class |
Conductor |
120263 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100352 |
Modular degree for the optimal curve |
Δ |
-1105776553739 = -1 · 11 · 132 · 296 |
Discriminant |
Eigenvalues |
0 1 -1 -2 11- 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1121,-52991] |
[a1,a2,a3,a4,a6] |
j |
-262144/1859 |
j-invariant |
L |
1.4632231142161 |
L(r)(E,1)/r! |
Ω |
0.36580554822802 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
143a1 |
Quadratic twists by: 29 |