Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cy |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-198375000000 = -1 · 26 · 3 · 59 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-458,-21912] |
[a1,a2,a3,a4,a6] |
Generators |
[18942:120912:343] |
Generators of the group modulo torsion |
j |
-85184/1587 |
j-invariant |
L |
6.8083069331623 |
L(r)(E,1)/r! |
Ω |
0.43272278751243 |
Real period |
R |
7.8668227437666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55200p1 110400cm2 55200o1 |
Quadratic twists by: -4 8 5 |