Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200s |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12165120 |
Modular degree for the optimal curve |
Δ |
-6.179146071875E+24 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- -1 -1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36642200,83755798000] |
[a1,a2,a3,a4,a6] |
j |
722603599520256/820654296875 |
j-invariant |
L |
0.80389116149428 |
L(r)(E,1)/r! |
Ω |
0.050243197597367 |
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 |
39200ch1 78400db1 7840z1 5600h1 |
Quadratic twists by: -4 8 5 -7 |