Atkin-Lehner |
2- 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052a |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-95241205067008 = -1 · 28 · 72 · 112 · 137 |
Discriminant |
Eigenvalues |
2- 2 -4 7+ 11+ 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7380,398696] |
[a1,a2,a3,a4,a6] |
j |
35969456/77077 |
j-invariant |
L |
0.83299229543112 |
L(r)(E,1)/r! |
Ω |
0.41649614636281 |
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 |
4004c2 |
Quadratic twists by: 13 |