Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968ci |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24021780396355584 = 212 · 38 · 197 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-316236,-68041280] |
[a1,a2,a3,a4,a6] |
j |
24897088/171 |
j-invariant |
L |
0.80563175647398 |
L(r)(E,1)/r! |
Ω |
0.20140789109661 |
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 |
103968ch2 34656s2 5472g2 |
Quadratic twists by: -4 -3 -19 |