Atkin-Lehner |
3- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72111d |
Isogeny class |
Conductor |
72111 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1367519432479317 = 32 · 13 · 438 |
Discriminant |
Eigenvalues |
1 3- -2 -2 -2 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-133167,-18630551] |
[a1,a2,a3,a4,a6] |
Generators |
[81908838:9662872015:5832] |
Generators of the group modulo torsion |
j |
41314084993/216333 |
j-invariant |
L |
4.8518889856366 |
L(r)(E,1)/r! |
Ω |
0.24999866623654 |
Real period |
R |
9.7038297407531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1677a2 |
Quadratic twists by: -43 |