Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
15162f |
Isogeny class |
Conductor |
15162 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25754232544068 = 22 · 3 · 74 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-439344,111903852] |
[a1,a2,a3,a4,a6] |
j |
199350693197713/547428 |
j-invariant |
L |
1.1635990007181 |
L(r)(E,1)/r! |
Ω |
0.58179950035903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121296dg4 45486bi4 106134bi4 798i3 |
Quadratic twists by: -4 -3 -7 -19 |