Atkin-Lehner |
3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
741a |
Isogeny class |
Conductor |
741 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
32 |
Modular degree for the optimal curve |
Δ |
-741 = -1 · 3 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3+ 1 3 0 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2,-3] |
[a1,a2,a3,a4,a6] |
j |
-1771561/741 |
j-invariant |
L |
1.8564415480343 |
L(r)(E,1)/r! |
Ω |
1.8564415480343 |
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 |
11856bd1 47424br1 2223c1 18525p1 |
Quadratic twists by: -4 8 -3 5 |