Atkin-Lehner |
2- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052a |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
141120 |
Modular degree for the optimal curve |
Δ |
1004980248272 = 24 · 7 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3605,69146] |
[a1,a2,a3,a4,a6] |
j |
67108864/13013 |
j-invariant |
L |
0.83299229543112 |
L(r)(E,1)/r! |
Ω |
0.83299229272562 |
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 |
4004c1 |
Quadratic twists by: 13 |