Atkin-Lehner |
2+ 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470r |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-683966190847500 = -1 · 22 · 310 · 54 · 113 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,20927,476528] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:500:1] |
Generators of the group modulo torsion |
j |
1013618356367130359/683966190847500 |
j-invariant |
L |
4.7522455576637 |
L(r)(E,1)/r! |
Ω |
0.32069861083332 |
Real period |
R |
0.12348680342257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410w2 97350by2 |
Quadratic twists by: -3 5 |