Atkin-Lehner |
2+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59584bo |
Isogeny class |
Conductor |
59584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-3.2505817964223E+19 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 3 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,534623,-229183809] |
[a1,a2,a3,a4,a6] |
Generators |
[426:8721:1] |
Generators of the group modulo torsion |
j |
228215687/438976 |
j-invariant |
L |
3.2263941555317 |
L(r)(E,1)/r! |
Ω |
0.10854316686921 |
Real period |
R |
4.9540876204468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997107 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59584cp2 1862c2 59584g2 |
Quadratic twists by: -4 8 -7 |