Atkin-Lehner |
3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57b |
Isogeny class |
Conductor |
57 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3 |
Modular degree for the optimal curve |
Δ |
3249 = 32 · 192 |
Discriminant |
Eigenvalues |
1 3- -2 0 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7,5] |
[a1,a2,a3,a4,a6] |
j |
30664297/3249 |
j-invariant |
L |
1.0853022722677 |
L(r)(E,1)/r! |
Ω |
4.3412090890707 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
912g2 3648g2 171a2 1425a2 |
Quadratic twists by: -4 8 -3 5 |