Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190r |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3945082281812100 = 22 · 32 · 52 · 1110 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-52637,3509961] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:2571:1] |
Generators of the group modulo torsion |
j |
9104453457841/2226896100 |
j-invariant |
L |
4.7522400361369 |
L(r)(E,1)/r! |
Ω |
0.41339592123727 |
Real period |
R |
2.8739035582862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4290v2 |
Quadratic twists by: -11 |