Atkin-Lehner |
3- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3933a |
Isogeny class |
Conductor |
3933 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
207592519699657863 = 312 · 198 · 23 |
Discriminant |
Eigenvalues |
1 3- 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-829251,290034130] |
[a1,a2,a3,a4,a6] |
j |
86507645152456935217/284763401508447 |
j-invariant |
L |
2.8608302282981 |
L(r)(E,1)/r! |
Ω |
0.31787002536646 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62928bp6 1311a5 98325bi6 74727o6 |
Quadratic twists by: -4 -3 5 -19 |