Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200q |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-22438620000000 = -1 · 28 · 310 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4425,-197750] |
[a1,a2,a3,a4,a6] |
j |
3286064/7695 |
j-invariant |
L |
1.403081204925 |
L(r)(E,1)/r! |
Ω |
0.35077030123275 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68400bw1 11400bh1 6840m1 |
Quadratic twists by: -4 -3 5 |