Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
106400bw |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-2235331000000 = -1 · 26 · 56 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2225,82500] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:350:1] |
Generators of the group modulo torsion |
j |
-1218186432/2235331 |
j-invariant |
L |
6.822614475748 |
L(r)(E,1)/r! |
Ω |
0.73323115914036 |
Real period |
R |
0.77540513497424 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106400f1 4256a1 |
Quadratic twists by: -4 5 |