Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5952u |
Isogeny class |
Conductor |
5952 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-285696 = -1 · 210 · 32 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 0 6 -8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25,-47] |
[a1,a2,a3,a4,a6] |
j |
-1755904/279 |
j-invariant |
L |
2.1095946899562 |
L(r)(E,1)/r! |
Ω |
1.0547973449781 |
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 |
5952q1 1488m1 17856bs1 |
Quadratic twists by: -4 8 -3 |