Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
744d |
Isogeny class |
Conductor |
744 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-333930417264 = -1 · 24 · 36 · 315 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 4 -2 -8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,936,-25839] |
[a1,a2,a3,a4,a6] |
j |
5661965297408/20870651079 |
j-invariant |
L |
1.956559726022 |
L(r)(E,1)/r! |
Ω |
0.48913993150551 |
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 |
1488f1 5952p1 2232e1 18600k1 |
Quadratic twists by: -4 8 -3 5 |