Atkin-Lehner |
2+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
10168a |
Isogeny class |
Conductor |
10168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40346624 = 210 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ -2 -2 -4 2 4 4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-864,-10064] |
[a1,a2,a3,a4,a6] |
j |
69737687428/39401 |
j-invariant |
L |
0.88052961393022 |
L(r)(E,1)/r! |
Ω |
0.88052961393022 |
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 |
20336a2 81344d2 91512i2 |
Quadratic twists by: -4 8 -3 |