Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200q |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-50847750000 = -1 · 24 · 38 · 56 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 6 0 4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,192,-10737] |
[a1,a2,a3,a4,a6] |
j |
3114752/203391 |
j-invariant |
L |
4.2955402711738 |
L(r)(E,1)/r! |
Ω |
0.53694253389864 |
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 |
18600r1 111600x1 1488a1 |
Quadratic twists by: -4 -3 5 |