Atkin-Lehner |
3+ 5+ 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
119145b |
Isogeny class |
Conductor |
119145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1371901655475 = -1 · 312 · 52 · 133 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2272,-36993] |
[a1,a2,a3,a4,a6] |
Generators |
[13684:198363:64] |
Generators of the group modulo torsion |
j |
589956416603/624443175 |
j-invariant |
L |
5.7119166344109 |
L(r)(E,1)/r! |
Ω |
0.4632367564128 |
Real period |
R |
6.1652239592806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998870776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119145d2 |
Quadratic twists by: 13 |