Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19800bf |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
27016762781250000 = 24 · 310 · 59 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768450,-259160875] |
[a1,a2,a3,a4,a6] |
Generators |
[-21364910:7249957:42875] |
Generators of the group modulo torsion |
j |
275361373935616/148240125 |
j-invariant |
L |
6.1061465660677 |
L(r)(E,1)/r! |
Ω |
0.16125369829608 |
Real period |
R |
9.4666767810434 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600bh1 6600g1 3960c1 |
Quadratic twists by: -4 -3 5 |