Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344bp |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4150879040176128 = 217 · 38 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2338284,1376235952] |
[a1,a2,a3,a4,a6] |
j |
3065617154/9 |
j-invariant |
L |
1.5269891391303 |
L(r)(E,1)/r! |
Ω |
0.38174728241108 |
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 |
97344fb6 12168q5 32448bh6 576d5 |
Quadratic twists by: -4 8 -3 13 |