Atkin-Lehner |
2- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52052j |
Isogeny class |
Conductor |
52052 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-270251248523320064 = -1 · 28 · 76 · 11 · 138 |
Discriminant |
Eigenvalues |
2- -1 3 7- 11- 13+ 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-459229,-122212663] |
[a1,a2,a3,a4,a6] |
j |
-8667872124928/218709491 |
j-invariant |
L |
3.2962293225387 |
L(r)(E,1)/r! |
Ω |
0.091561925637935 |
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 |
4004a1 |
Quadratic twists by: 13 |