Atkin-Lehner |
2+ 3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190s |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1.5547201226791E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11- 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2642036004907,-1652937758403399299] |
[a1,a2,a3,a4,a6] |
Generators |
[-537739678620490362775489913149280367315203:268850952409499983311714006439308459369859:573011253857676464093195153058084911] |
Generators of the group modulo torsion |
j |
1151287518770166280399859009187288721/877598977782384000 |
j-invariant |
L |
2.6793303959707 |
L(r)(E,1)/r! |
Ω |
0.003744681384448 |
Real period |
R |
59.625241796029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290u4 |
Quadratic twists by: -11 |