Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712by |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-586773980361261056 = -1 · 221 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 1 -3 7+ 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-670817,214436639] |
[a1,a2,a3,a4,a6] |
j |
-156116857/2744 |
j-invariant |
L |
0.58147427040295 |
L(r)(E,1)/r! |
Ω |
0.29073714873107 |
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 |
75712bd2 18928m2 75712cp2 |
Quadratic twists by: -4 8 13 |