Atkin-Lehner |
2+ 7- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
55384c |
Isogeny class |
Conductor |
55384 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.7747036527897E+24 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -4 -2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129331448,558300829984] |
[a1,a2,a3,a4,a6] |
Generators |
[3719300:-1288967484:2197] |
Generators of the group modulo torsion |
j |
233634072233053617034454500/3686234035927427404007 |
j-invariant |
L |
3.8810719784653 |
L(r)(E,1)/r! |
Ω |
0.078772847632291 |
Real period |
R |
6.1586449125179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998558 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110768d2 |
Quadratic twists by: -4 |