Atkin-Lehner |
2+ 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
127200s |
Isogeny class |
Conductor |
127200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
131056704000 = 29 · 36 · 53 · 532 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149768,-22258968] |
[a1,a2,a3,a4,a6] |
Generators |
[116772:4863651:64] |
Generators of the group modulo torsion |
j |
5805020111875048/2047761 |
j-invariant |
L |
4.0828978689232 |
L(r)(E,1)/r! |
Ω |
0.24268591118121 |
Real period |
R |
8.4118972903302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998814327 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127200bp2 127200dq2 |
Quadratic twists by: -4 5 |