Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ey |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
7950361559040000 = 220 · 38 · 54 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50988,-1111088] |
[a1,a2,a3,a4,a6] |
Generators |
[272:2268:1] |
Generators of the group modulo torsion |
j |
76711450249/41602500 |
j-invariant |
L |
4.8673261923758 |
L(r)(E,1)/r! |
Ω |
0.33874750175497 |
Real period |
R |
3.5921491978999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998469324 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840cd2 30960cd2 41280dk2 |
Quadratic twists by: -4 8 -3 |