Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400dp |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
6689144531250000 = 24 · 310 · 512 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -6 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166800,-25923625] |
[a1,a2,a3,a4,a6] |
Generators |
[105132940:-3458246875:85184] |
Generators of the group modulo torsion |
j |
2816075628544/36703125 |
j-invariant |
L |
5.1244781207068 |
L(r)(E,1)/r! |
Ω |
0.23642478409386 |
Real period |
R |
10.837438537093 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999769367 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26100l1 34800bx1 20880ch1 |
Quadratic twists by: -4 -3 5 |