Atkin-Lehner |
2+ 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
10146c |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12209535220644 = -1 · 22 · 36 · 196 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 -6 -4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1959,-172215] |
[a1,a2,a3,a4,a6] |
j |
-832095872403193/12209535220644 |
j-invariant |
L |
0.61066297635358 |
L(r)(E,1)/r! |
Ω |
0.30533148817679 |
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 |
81168cq2 30438m2 |
Quadratic twists by: -4 -3 |