Atkin-Lehner |
3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
74529j |
Isogeny class |
Conductor |
74529 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
1017140714400993273 = 39 · 77 · 137 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-349355,63034066] |
[a1,a2,a3,a4,a6] |
j |
421875/91 |
j-invariant |
L |
1.0475502021552 |
L(r)(E,1)/r! |
Ω |
0.26188755145091 |
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 |
74529i1 10647b1 5733a1 |
Quadratic twists by: -3 -7 13 |