Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
58410w |
Isogeny class |
Conductor |
58410 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-498611353127827500 = -1 · 22 · 316 · 54 · 113 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,188347,-12866263] |
[a1,a2,a3,a4,a6] |
Generators |
[2721:70726:27] |
Generators of the group modulo torsion |
j |
1013618356367130359/683966190847500 |
j-invariant |
L |
8.5439414030377 |
L(r)(E,1)/r! |
Ω |
0.16705219157033 |
Real period |
R |
6.3931676999577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000236 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470r2 |
Quadratic twists by: -3 |