Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840cd |
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 |
[-1572:53200:27] |
Generators of the group modulo torsion |
j |
76711450249/41602500 |
j-invariant |
L |
7.9192827781126 |
L(r)(E,1)/r! |
Ω |
0.36236933356155 |
Real period |
R |
5.4635437225607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999843392 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123840ey2 3870y2 41280u2 |
Quadratic twists by: -4 8 -3 |